A bibliograpy on Hermite-Birkhoff interpolation
Citation for published version (APA):van Rooij, P. L. J., Schurer, F., & Walt van Praag, van, C. R. (1975). A bibliograpy on Hermite-Birkhoff interpolation. (Eindhoven University of Technology : Dept of Mathematics : memorandum; Vol. 7514). Technische Hogeschool Eindhoven.
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EINDHOVEN UNIVERSITY OF TECHNOLOGY
Department of Mathematics
Memorandum 1975-14
Issued December 1975
A
bibliography on Hermite-Birkhoff interpolation
by
P.L.J. van Rooij, F. Schurer, C.R. van Walt van Praag
University of Technology
Department of Mathematics
PO Box 513, Eindhoven
The Netherlands
1878 1. Hermite, C.
Sur la formule dfinterpolation de lagrange. . J. Reine Angew. Hath. 84(1878), 70-79.
1
-1906
e
irk ho f f, G. 0 •General mean value and remainder theorems with
applications to mechanical differentiation and Quadrature • Trans. Amer. Hath. Soc. 7(1906), 107-136.
1.
1931
Polys .. G.
8emerkung zur Interpolation und zur Naeherungstheorie der Sa l kenb iegung.
Z. "ngew. Math. Mach. 11<19311. 445-449. (Zb. 3.p.273)
2
-1935 Whfttaker, J.M.
Interpolatory function theory .. pp. 45-51. London .. Cambridge Univ. Press~ 1935.
1937 1. Cihquini. S.
Sopra una nuova estensione di una formula di Curtiss. .Rend. Cire. Hat. Palermo 61(1937), 73-83.
3
-1.
1955 Suranyi. J. ; Turan, P.
Notes on interpolation. I. (On some interpolatorieal properties of the ultraspherical polynomials). Acta Hath. Acad. Sci. Hungar. 6(1955), 67-80.
1957
1. Balazs~ J. ; Turan. p.
Notes on interpolation. It. (Explicit formulae). . Acta Hath. Acad. Sci. Hungar. 8(1957)~ 201-215.
(HR 19.p.S44 ; lb. l8,p.54 ; RJH (1956)~1978)
4
-1.
1958.
Balazs. J. ; Turan. P.
Notes on interpolation. IV: Inequalities • Acta Math. Acad. Sci. Hungar. 9(195B). 243-258. CHR 21.2135 ; Zb. e5.p.52 ; RJH (1960).1~64)
2. Balaz~. J. ; Turan. P.
Notes on interpolation. III: Convergence. Acta Hath. Acad. Sci. Hungar. 9(195B}, 1$5-214.
(~R 20.4725 ; Zb. 85.p.51 ; RJH (1959}.5727)
3. freud" G.
Eemerkung ueber die Konvergenz eines Interpolationsverfahrens von P. Turan.
Acta Hath. Acad. Sci. Hungar. 9(195S). 337-341. CMR 21.2137 ; Zb. e5.p.52 ; RJH (1960).1565) 4. Saxena. R.B. ; Sharma. A.
On some interpolatory properties of Legendre polynomials. Acta Math. Acad. Sci. Hungar. 9(1958). 345-358.
1959 1. Saxena~ R.B.
On modified (0.2) interpolation.
. Acta Hath. Acad. Sci. Hungar. 10(1959). 177-192. (fiR 21.3699b ; lb. 8T,p.57 ; RJM (1960),5132) Z. Saxena. R.B. ; Sharma .. A.
Convergence of int erpolatory poLynomials.
Acta Math. Acad. Sci. Hungar. 10(1959),. 157-175. CMR 21.3699a ; lb. 87~p.57 ; RJH'CI960).5131)
5
-1.
1960 l(is, O.
Notes on interpolation (Russian).
Acta Math. Acad. Sci. Hungar. 11(1960). 49-64 • (MR 22 .. 3911 ; Zb. 97,.p.59)
~is. O.
On trigoncmetric (O .. 2)-interpolati~~ (Rus~fari)~ Acta Math. Acad. Sci. Hungar., 11(1960)" 255-216. {MR Z3A.3961 ; lb. 103.p.287 ; RJM (1961).9846) 3. Saxena. R.B.
Convergence of interpolatory poLynomials. (0.1,2.4) interpo La ti on.
Trans. Amer. Math. Soc. 95(1960) .. 361-385. (MR 22,.2821 ; lb. 93,.p.67 ; RJM (1961),8627) 4. Saxena. R.B.
On interpolation and mechanical quadrature (Doctoral Dissertat ion).
Lucknow. Lucknow Univ.~ 1960. 5. Saxena. R.B.
On mixed type lacunary interpolation. I. Ganita 11(19&0),. 65-81.
1961 1. Balazs, J.
Weighted (0.2) interpolation on zeros cf ultraspherical . polynomials (Hungarian).
Magyar Tud. Akad. Mat. Fiz. Oszt. Koezl. 11(1961).
305-338.
(Zb. 129,p.49 ; RJH(1962J.12B48) 2. Mathur, K.K. ; Sharma, A.
Some interpolatory properties of Hermite polynomials. Acta Hath. Acad. Sci. Hungar. 12(1961), 193-207. (HR 23A.3962 ; Zb. 98.p.l71 ; RJM (1962).38101) 3. Saxena. R.B.
On a convergence theorem of (O,1,3l-interpolation. Publ. Inst. Hath. (Beograd), n. Sere 1(15)(1961). 11-14. (HR 27.3978 ; lb. 10S,p.47 ; RJH (1963),5BI17)
4. Saxena. R.B.
On some interpolatory properties of Legendre and ultraspherical polynomials. II.
Bulgar. Akad. Nauk Otd. Mat. Flz. Hauk. Izv. Hat. Inst. 5(1961). 43-64.
(HR 24A.263) 5. Varma. A.K.
Some interpolatory properties of Tchebicheff poLynomials; (0.1.3) case.
Duke Math. J. 28(19611. 449-462.
(HR 24A.373 ; Zb. 100.p.334 ; RJH (1962),5B39) G. Varma, A.K. ; Sharma, A.
Some interpolatory properties of Tchebyscheff polynomials; (0.2) case modified.
Publ. Hath. Oebrecen 8(1961),336-349.
("R 25,3306 ; lb. 100.p.283 ; RJH (1963),48107)
6 •
1962 Saxena, R.B.
Convergence in modified (O,Z, interpolation •
Magyar Tud. Akad. Mat. riz. Oszt. Koezl. 7(1962), 255-271. (HR 27,6062 ; Zb. 1Ie.p.GO ; RJM (1963).128120)
1963 1. Nemeth, A.B.
Interpolating polynomial of type CO.n,2n •••• ,kn) and . generalization for the generaL aspect of interpolation
with lacURae (Romanian).
Acad. Republ. Populo Romine Studii Cerc. Hat. 14(1963), 103-110.
(MR 32,1488 ; Zb. 168,13.305 ; RJH (1965),6B114) 2. Nemeth, A.B.
3.
lacunary interpolation on distinct nodes (Romanian). Acad. Republ. Populo ROllline Studii Cere. Hat. 14(1963),-111-122.
(MR 32,1489 ; lb. 168,13.306 ; RJH (1965),68115) Saxena, R.8.
On mixed type Lacunary interpoLation. I I .
Acta Hath. Acad. Sci. Hungar. 14(1963). 1-19. (HR 27,2761 ; lb. 128,13.290 ; RJH (1964),28153) '4. Saxena, R.B.
Some interpolatory polynomials on Tchebyscheff abscissas.
I.
Publ. Inst. Math. (Beograd), (n. Ser.) 3(17}(1963). 77~87.
(HR 30,1343 ; Zb. 133,13.18 ; RJH (1965),48143) 7 .. 2. 3. 1964 Saxena, R.8.
On some interpolatory properties of legendre polynomials •
I I I .
eulgar. Akad. Nauk Otd. Hat. fll. ~auk. Izv. Mat. Inst. 8(964), I'd-94.
CHR 30~4005 } RJM (196S),6B4S)
Sharma, A.
Some remarks on lacunary interpolation i~ the roots of uni ty.
Israel J. Hath. 2(19&4). 41-49.
(MR lOp388 ; RJM (1965),10862) Varma. A. K.
Lacunary interpolation through trigonometric and Power polynomials <Doctoral Dissertation).
1.
z.
3.
1965 Cuprigin .. O.A.
On trigonometric (O.1.2 ... r-2 .. r)-interpolation (Russian).
llY. Akad. Nauk 8SSR .. Sere fiz.-Mat. Nauk 1965# nr 1 .. 129-131.
(Zb 161. p.255) Nemeth .. A.B.
A theorem on the solvability of the problem of lacunary interpolation (Romanian).
Stud. Cere. Hat. 17(1965). 1411-1413.
(HR 37.4464 ; Zb. 168 .. p.306 J RJH (1967).38161) Saxena .. R.S.
Remark on a convergence theorem of (0 .. I.Z.4) interpolation.
J. Indian Hath. Soc. 29(1965). 135-141. (HR 33 .. 467 ; Zb. 146"p.84 ; RJM (1967).48113) Sharma. A.; Varma. A.K.
Trigonometric interpolation. Duke Hath. J. 32(1965). 341-357. (MR 31.1497 i Zb. 154.p.314) 6 -2. 4. 5. 1966 Ahlberg. J.H. J Nilson. E.N.
The approximation of linear functiorsls. SIAM J. Numer. Anal. ](196b). 1T!-teZ.
("P. 36.589 ; Zb. 147.p.51 ; RJM (1967) .. rSS10)
Mathur. K.K.
An interpolation process on Tcllebychff abscissas. Ganita 17(1966). 15-33.
O(R 37.5514 ; Zb. lT1~p.310)
Nemeth. A.S.
Transformations of the Chebyshev syste.s. Mathematics (Cluj) e(1966), 315-333.
(MR 35 .. 4(44)
Russell. l.H.
Polynomial interpolation with incomplete derivative data (Ooctoral Dissertation).
Heboken. Stevens I~st. of Technology, 1966. (OA 21" 20 42B)
Schoenberg" I.J.
On Hermite-8irkhoff interpolation. J. Math. Anal. Appl. 16(1966). 53e-543.
(HR 34.3160; Zb. 156.p.287,; RJM <19(1).86598) 6. Sharma .. A.
Lacunary interpolation in the roots of unity. Z. Angew. Math. Mech. 46(1966) .. 121-133.
1961
1. Prasad, J.
2.
3 •.
Some interpolatory polynomiaLs on Hermite abscissas. . Math. Japon. 12(1961), 73-80.
(MR 31,651 ; Zb. 189.p.353) Prasad. J. ; Saxena,. R.B.
Some interpolatory properties of laguerre polynomials. Canad. Hath. Bull. 10(1967). 559-571.
(HR 37.4465 ; Zb. 189.P.353 J RJH (1968),1836)
Varlla, A.K.
On a problem of p~ Turan on lacunary interpolation. Canad. Hath. Bull. 10(1967), 531-557.
(HR 39,1859 ; Zb. 172.p.344) Zeel', E.O.
Lacunary algebraic interpolation (Russian).
Leningrad. Gos. Pede Inst. Ucen. Zap_ 328(1967), 105-110. 01R 37.03741) 9 -1. 3. 4. 1968 Dyer, J.
Generalized multistep methods in satellite orbit computati on •
J. Assoc. Comput. Hach. 15(1968), 112-71S.
Ferguson. D.R. ..
The question of uniqueness for G.O. Birkhoff interpolation problems (Doctoral Dissertation).
Hadison. Vniv. of Wisconsin. 1968. (RJH (1970).3A371 ; DA 29.679-B) Prasad. J.
Balazs-type interpoLation on laguerre abscissas. Math. Japan. l.H1968)~ 47-53.
(HR 39,3190 ; Zb. 167,p.47> Prasad. J.
Some poised and non-poised problems of irterpolation (Doctoral Dissertation).
Edmonton. Uni v. of Al berta. 1968.
5. Schoenber g. I.J.
On the Ahlberg-Nilson extension of spline interpolation: the g·splines and their optimal properties.
J. Hath. Anal. Appl. 21(1966), 207-231, om 36.6849 ; Zb. 159.p.84 ; RJH(1968)"1E728) 6. Sharma~ A. ; Pra~ad. J.
On Abel-Hermite-Birkhoff interpolation. SI"H J. Numer. Anal. 5(1968)~ 864-881.
(MR 39.6487 ; Zb. 114.p.355 ; RJH (1971),4B998)
7. Sharma~ A. J Varma, A.K.
Trigonometl'ic interpotat ion (O,Z.::U case. Ann. Polon. Hath. 21(1968). 51-58.
6. Tureckfi. A.H.
Theor, of interpolation in problem form (Russian). Minsk, Izdat. Vyseisaja Skola, 1968.
(HR 41,5840 ; RJH (1969).8BI35)
9. Varma. A.K.
Inequalities for polynomials and their derivatives. Acta Sci. Hath. 29(1968), 137-146.
(Zb. 174.p.97 ; RJH (1968).128829)
10. Varma .. A.K.
Inequalities for pol,nomials and their derivatives. II.
Tohoku Hath. J. 20(1968). 265-288. (Zb. 188.p.131 ; RJM (1969).98119)
11. Varma. A.K.
Non existence of interpolator, polynomials. Publ. Hath. Oebrecen 15(1968l. 75-77.
(HR 39.4562 ; lb. 183.p.332 ; RJH (1969).118128)
12. Varma. A.K.
Simultaneous approximation of periodic continuous functions and their derivatives.
Israel J. Hath. 6( 1968), 66-.73. (HR 38.1460 ; RJM (1969).18120) 10 -3. 1969. Atkinson. K. ; Sharma. A.
A partial characterization of poised Hermite-Birkhoff interpolation problems.
SIAM J. Humer. Anal. 6(19b9)~ 230-235.
(MR 41.9419 ; Zb. 182.p.216 RJ" (1970).~B9'"
Cillloca, Gh.
Ueber ein Interpolationsschel1la. Mathematica (Cluj) 11(1969). 61-67.
(HR 43.7818 ; lb. 209.p.37Q ; RJH (1970).10B118) ferguson. D.R.
The Question of uniqueness for G.O. eirkhoff interpolation: problems.
J. Approximation Theory 2(1969)~ 1-2B.
(MR 40.599 ; Zb. 182.p.392 ; RJM (19701.1B819)
Gupta. 5.~. ; Varma. ~.K.
Sa.e interpolatory properties of Jacobi polynD~ials: (0.2' interpolation.
Ganita 20 (1969)~ 79-93.
CMR 42.~925 ; Zb. 217.p.137)
5. Haussm3r.n ~ H.
"ermite-Interpolation in mehreren Veraenderlichen (0 i sse r ta t i on ). eochum. Ruhr-Universitaet. 1969. (flJM (1971),58124) 6. Jerome, J.W. ; Schumaker~ L.l. On 19-spllnes. J. Approximation Theory 2(1969).29-49. (MR 39,3201 ; Zb. 172.p.345 ; RJ~ (1970)~ IB817) 7. Karlin, S.
Eest Quadrature formulas and interpolaticn by splines satisfying boundary conditions.
Approximations with special emphasis on spline functionS (Proc. Symp. Mathem. Research Center, Wisconsin. 19&9); ed. by I.J. Schoenberg. pp. 447-4668 New York. Academic Press. 1969.
8. Hangasarian~ C.L. ~ Schumaker. l.L. Splines via optimal control.
Approximations with special emphasis on sptine functions (Proc. Symp. Hathelll. Research Center. Wisconsin. 1969H ed. ~y I.J. Schoenberg. pp. 119-156. New York. Academic .Press. 1969.
'KR 41,4073 } Zb. 268.49QZ&} 9. Karusciac. I.
SUI" les polynollles d'interpolation et de preinterpolation lacuna Ire.
Mathematics (Cluj) 11(1969>~ 111~125.
(MR 41.688 } lb. 167,p.329 ; RJM (1971).1B125)
10 • PI" a sad. J. ; Val" lIa. A. K.
An analogue of a problem of J. Balazs and P. Turan. Canad. J. Hath. 21(19&9). 54-63.
CHR 39.1658 J lb. 162.p.89 ; R~H (1969).9BI18) 11. Prasad. J. ; Verma. A.
An analogue of a problem of J. Balazs and P. Turan. III. Math. Japan. 14(1969). 85-99.
(MR 42~&466 ; lb. 188,p.132)
12. Ri tter, K.
GeneraLized spline interpolation and nonlinear programming.
Approximations with special emphasis on spline functions (Proc. Symp. Mathem. Research Center. Wisconsin. 19&9)} ed. by I.J. Schoenberg, pp. 75-117. New York, Academic Press, 1969.
(lb. 271,41007)
13. Schechter, H.
Hermite-Birkhoff interpolation problems with complex nodes.
Amer. Hath. Monthly 16(1969). 1119-1122. (MR 41,690 ; RJH (1970).89146)
11
-14. Sharma, A. J Leeming, O.J.
lacunary interpolation - (D.n-I,n) case. MatheMatica (CLUj) 11{I'69), 155-162.
(lOr! 41~868'! ; lb. HIl,p.l32 ; RJI! (l97C),l1BIZ4)
15. Varma. A.K.
An analDgue of a problem of J. Balazs and P. T~ran. Ill. Trans. Amer. Math. Soc. 146( 19&9). I07-120.
(MR 42.4924 J Zb. 198.p.401 ; RJM (1971),2BIOl) 16. Varma. A.K.
An application of a theorem of J. Czipszer and G. Freud to a problem of ~imultaneous approximation.
Canad. Math. Bull. 12(1969). 193-202.
(MR 41,4104 ; Zb. IBO.p.373 ; RJM (1970),5BI36) 17. Varma. A.K.
Convergence of interpolatory polynomials on Tchebycheff abscissas.
Ccmpositio Math. 21(IS69), 7-20.
(MR 39.4563 ; lb. 172,p.344 ; RJM (1969),12B873) 18. Varma. A.II.
Some remarks on trigonometric interpolation. Israel J. Math. 7(.19&9),,' 177-185.
O!R 40 .. 3151; lb. 177.p.89 ; RJH (1970),~B16S)
19. Varma~ A. K.
Trigonometric interpoLation.
J. Math. Anal. Appl. 26(1969). 652-659.
(MR 41.4105 ; lb. 206"p.80 ; RJH (1970)~la152)
20. Vertesi .. P.O.H.
On the di~ergence of the sequence of linear operators. Acta Hath. Acad. Sci. Hungar. 20(1969). 399-406. (MR 40.7686 ; Zb. 189.p.68 ; RJH (1970).8BI27)
1. , 2. ? '-., / 1970 Jerome, J.W.
-Linear 5elf-adjoint multipoint boundary value problems and .related approximation schemes.
Numer. ,Math. 15(1970)~ 433-449.
(MR 44.4275 ;lb~ 214,p.418 ; RJM (1971),4B916)
Lorentz. G.G. ; leller. K.L.
Monotone approximation by algebraic polynomia(s. Trans. Amer. Hath. Soc. 149(1970), 1-18.
(HR 44.3060 ; lb. 198.p.401 ; RJM (1971).58120)
3. Matthews. J.W.
Interpolation with derivatives. SIAM Rev. 12(1970). 127-128.
(MR 41.4064 ; lb. 19&.p~84 ; RJM (1971).3894)
Prasad. J.
On the weighted (0.2) interpolation. SIAM J. Numer. Anal. 7(1970). 428-446.
(MR 43.5&88 ; lb. 209.p.370 ; RJH (1971).5BI137)
5. Schoenberg. I.J.
A second look at approximate quadrature formulae and spline interpolation. '
Advances in Hath. 4(1970)~ 277-300.
(MR 41,8895 ; lb. 215.p.175 ; RJM (1971).IB937)
6. Varma, A.K. ; Gupta~ S.K.
An analogue of a problem of J. Balazs. ~~ Studia Sci. Hath. Hungar. 5(1970), 215-220.
(MR 44,56&1 ; lb. 246,41005 ; RJH (1972),4B146) . /
7. Varma, A.K. ; Prasad, J.
An analogue of a problem of J. Balazs and P. Turan. II: Inequalities.
/ Ann. Polon~ Math. 23(1970). 227-245.
(MR 42.4923 ; lb. 217.p.137 ; RJM (1971).68107)
12
-8. Zeel', E.O.
Trigonometric (O.p.~)~interpolation (Russian).
Izv. Vyss. Ucebn. laved. Matematika nr~ 3(94) (1970), 27-35.
(~R 44.710 ; Zb. 211.p.1901
1971 1. Fiala_ J.
Interpolation with prescribed values of derivatives ,instead of function values.
Apt. Hat.-16(1971), 421-450.
(lb. 224,65002 ; RJH (1972),581137)
2. Galilllberti, G. ; Pereyra, V.
Solving confluent Vandermonde systems of Hermite type. NUlller. Math. 18(1971), 44-60.
CZ b. 21 Z _ p .170 )
3. Haussmann.
w.
On interpolation with derivatives. SIAM J. NUlller. Anal. 8(1971). 483-485.
(HR 47.2229 ; lb. 235,41002 ; RJM (1972).581138) 4. Jerome. J.W. ; Schumaker, l.l.
local bases and computation of g-splines.
Methoden und Verfahren der mathematischen Physik. Band 5; herausgeg. von B. 8rosowski und E. hartensen. pp. 171-199. Hannheim, Bibliographisches Institut. 1971.
(lb. 221 .. 41010)
5. Kis. O.
Remarks on the error of trigonometric (0-2)-interpolation (Russian).
Acta Hath. Acad. Sci. Hungar. 22(1971), 81-84. CHR 44,7204 ; lb. 219.42002 ; RJM (1972).48141) 6. ·lorentz, G.G. ; Zeller. K.l.
8irkhoff interpolation.
SIAM J. Humer. Anal. 8(1971), 43-48.
(HR 45.4595 ; Zb. 229,41001 ; RJH (1971).1281187) 7. lorentz. R.A.
Uniqueness of best appro~imation by monotone polynomials. J. Approximation Theory 4(19711, 401-418.
(HR 45.179 ; lb. 247.41006)
13 •
8. Prasad. J.
On the convergence of interpolatcry polynomials on uttraspherical abscissas.
Math. Notae 22(1970/71), 49-68.
(HR 48.9176 ; lb. 251.41001)
9. Pra'Sad. J.
On the convergence of the derivative of tKe interpolatory polynomials.
Math. Japen. 16(1971). 51-69. (MR 46.2306 ; Zb. 222.41002)
10. Vertesi. P.O.H.
Notes on the convergence of (0.2) and (0.1.3) interpolations.
Acta Math. Acad. Sci. Hun~ar. 22(1971). 121-138. (Zb. 221.41004 ; RJ~ (19/2).58101)
11. Vertesi. P.O.H.
On the convergence of Hermite-Faler interpolation. Acta Math. Acad. Sci. Hungar. 2Z(1971). 1S1-1S8. (Zb. 221,41002 ; RJH (1972).5899)
I? Vertesi. P.O.H.
On the convergence of the trigonometric (O,M) interpolations.
Acta Math. A~ad. Sci. Hunqar. 22(1971). 117-1Zb. (Zb. 221.42001 ; RJM (1972),5896)
13. kindauer. H.
Zur ~ymmetrischen luecken-Interpolation. Z. Angew. Hath. Mech. 51(1971). T31-T32.
3.
5.
7.
1972 Chalmers .. B.L.
A unified approach to uniform real approximation by polynomials with linear restrictions.
Trans. Amer. Math. Soc. 1&&(1972), 309-316. (lb. 252 .. 41005)
Epstein. M.P. ; Hamming .. R.W.
Noninterpolatory quadrature form~las.
SIAM J. Numer. Anal. 9(1972). 464-475. (MR 47,2795)
Haussmann ..
w.
Hermite-Interpolation mit Cebysev-Unterraeumen.
Numeri5che Methoden der Approximationstheorie .. Band
I.
herausgeg. von L. Collatz und G. Heinardus. pp.49-55. Basel, Birkhaeuser Verlag .. 1972.Karlin.
s. ;
Karon. J.M.On Hermite-3irkhoff interpolation. J. Approximation Theory 6(1972). 90-115. (HR 49.3375 ; lb. 241 .. 41001)
Karlin.
s. ;
Karon .. J.H.Poised and non-poised Hermite-Birkhoff interpolation. Indiana Univ. Hath. J. 21(1972). 1131-1170.
(MR 47 .. 3817 ; lb. 225.41002 ; RJH (1973).881077) Lorentz. G.G.
Birkhoff interpolation and the problem of free matrices. J. Approximation Theory 6(1972). 283-290.
(HR 49,5639 ; lb. 242 .. 41004 ; RJH (1973) .. 4BI036) Lorentz .. G.G.
Monotone approximation.
Inequalities III (Proc. Symp. Univ. of California .. los Angeles .. 1969); ed. by O. Shisha# pp. 201-215. New York. AcadeRlic Press. 1972.
14
-8. Platte. O.M.
Approximation with Hermite-Birkhoff interpolatory constraints and related H-set theory (Doctoral Oissertat ion).
East Lansing. Michigan State Univ •• 1972. (OA 33 .. 5400-B)
9. Pr as ad. J.
Remarks on lacunary interpolation.
~athematica (CLUj) 14(1972). 147-165.
(MR 48.9177 ; Zb. 2S5.41004 ; RJM (1974) .. 3892) 10. Roulier. J.A. ; Taylor. G.O.
Approximati.on by polynomials with restricte'd ranges of their derivatives.
J. Approximation Theory 5(1912). 21&-227. (lb. 231.41009)
11. Sharma. A.
Some poised and nonpoised problems of interpolation. SIAM Rev. 14(1972). 129-151.
(HR 47 .. 2230 ; RJM ('1972) .. 88903) 12. Sharma. A.
Some poised problems of interpolation. Prec. Conf. Constructive Theory of functions (Approximation Theory); ed. by G. Al.xits and S.B. Stechkin. pp. 435-441. Budapest. Akademiai Kiado .. 1972. (lb. 237 .. 41001 ; RJH (1972),8B136)
13. Varma, A. K.
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{MR 48.7536 ; lb. 281,65007 ; RJM (1914).1B814)
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18
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Ahlber9~ J.H. : Arthur. O.N. Atkinson. K. : Balazs. J. : Birkhoff" G.O. ChaLllers" B.L. ; Cillloca. Gh. : Cinquini.
s. :
Cup ri 9 in.. O. A • Oellko. S.G. : Devore. R. Oyer .. J. : Eckerh [.J. E1 sner .. L. t Epstein. H.P. fer9uson~ D.R. Fiala .. J.,: rreud,. G. : Galilllberti .. G. Gupta .. $.1(. 1966-1 1974-1 1969-1 1957-t; 1958-1; 195.8-2; 1961-1 1906-1 1972-1;1973-1;1974-2;1974-3 1969-2 1937-1 1965-1 1973-2 1973-3 1968-1 1973-16 1972-2 1971-1; 1973-7 196 9-1t; 1970-& 11.178-1 1975-8 19 -Jerome. J.W. : Johnson. O.J. Ka r lin. S. : Karon. J.H. : Khchi" E. Ki 50 O. leeming. D.J. lorentz. G.G. lorentz. R.I.. : Haekelae. M. Hangasarian. D.L. Marusciac. I. = Mathur. 1(.1(. : Matthews. J.W. He i r" A. He tc a If.r.
T. : Hicchelli. C.A. : Hunteanu. M.J. Nel1leth. 1..8. : Nevanl i nna. D. : Nilson. E.N. : Pereyra .. V. : 1969-6;1970-1;1971-4 1973-9;1974-2;1975-1 1969-7;1972-4;1972-5 1972-4; 1972-5 1974-5;1915-2JI975-3 • 1969-14H973-10 1970-2;1971-6;1972-6;1972-1)1975-4J 1975-5;1975-6 1971-7; 1975-1 1974-6;1974-7;1974-8 1969-8 1961-V 1966-2 1973-3;1973-11;1913-12 1974-2.; 1974·3 1973-13H974·9 1966-1 1971-2 1912-6Polya .. G. : Prasad. J. ; Richter-Dyn. N. : Ritter. K. : Rivlill. T .J. : Roulier. J.A. Russell. l.H. Saxena. R.B. : Schechter. H. : Schoenberg. I.J. Stieglitz. M. Suranyi·. J. : Swartz. B.K. ; Taylor. G.D .. Turan. P. Tureckii .. A.H. varga. R.S. : 1931-1 1961-1;1967-2;1968-3;1966-4;1968-6; 1969-10;1969-11;1970-4;1970~7;1971-8; 1971-9;1972-9;1973-15;1973-16 1973-13 1972-10 1966-4 1958-4;1959-1;1959-2'1960-3;1960-4; 1960-5;1961-3;1961-4;1962-1;1963-3; 1963-4;1964-1;1965-3;1961-2 1969-13 1958-4; 1959-2; 19£1-2;1961-6;1964-2; 1965-4;1966-6;1968-6;1968-7;1969-1; 1969-14;1972-11;1972-12;1973-3;1973-11; 1973-12 1974-6;1974-7;1974-8 1975-6 1955-1'1957-1;1958-1;1958-2 1968-8 1973-17 20 -Varma. A.K. VerlIIa. A. : VertesiJ· P.D.H. Whittaker. J.M. : Windauer. H. : Zeel' .. £.0. : 1961-5;1961-6;1964-3;1965-4'1961-3; 1968-7jI966-9;1968~10;1968-11;1968-12; 1969-4;1969-10;1969-15;1969-1611969-11; 1969-18;1969-19'1910-611970-7;1972-13; 1972-14;1973-18'1913-19 1969-11 1969-20;1971-10;1971-11'1971-12'1972-15; 1972-16 1967-4;1970-8;1974-11 1970-2;1971-6;1975-6}1975-10
