Notes on interpolation. VIII-Reference-Cited by-同舟云学术

Notes on interpolation. VIII

Published:1964-05 Issue:3-4 Volume:12 Page:469-474
ISSN:0001-5954
Container-title:Acta Mathematica Academiae Scientiarum Hungaricae
language:en
Short-container-title:Acta Mathematica Academiae Scientiarum Hungaricae

Author:

Balázs J.,Turán P.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF02023929.pdf

Reference3 articles.

1. Added in proof (2 October 1961), ProfJ. Geronimus kindly called our attention to the paper ofJ. Shohat entitled “Application of orthogonal Tchebyscheff polynomials etc.”,Annali di Math., Ser. IV,18 (1939), pp. 201–238. Though this paper deals with problem of mean convergence,Shohat andTamarkin did not find it worth even quote in their book on Moment problem in 1943, though the book contains a detailed chapter on mechanical quadrature.

2. P. Erdős andP. Turán, On Interpolation. l,Annals of Math.,38 (1937), pp. 142–155. The essential relation (13) is stated there if only % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrpK0xb92qpi0-OqFf% ea0dXdd9arFHe9FjuP0-is0dXdbba9pGe9xq-Jbba9suk9fr-xfr-x% frpeWZqaaeaabiGaciaacaqabeaadaqaaqaaaOqaamaapehabaGaam% iCaiaacIcacaWG4bGaaiykaiaadsgacaWG4baaleaacqGHsislcaaI% XaaabaGaaGymaaqdcqGHRiI8aaaa!43B0! $$\int\limits_{ - 1}^1 {p(x)dx} $$ exists andp(x)≧M owing to misprint: the letterM is to be replaced by O.

3. S. Bernstein, Leçons sur les propriétés extrémales etc., andS. Mandelbrojt, Séries adhérentes, régularisation des suites, applications, in part, p. 182.

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1. Convergence of product integration rules over (0,∞) for functions with weak singularities at the origin;Mathematics of Computation;1995

2. Weighted (0,1,3) interpolation on the zeros of Hermite polynomials;Acta Mathematica Hungarica;1993-03

3. Géza Freud, orthogonal polynomials and Christoffel functions. A case study;Journal of Approximation Theory;1986-09

4. A convergence theorem for the Pál method of interpolation on the roots of Hermite polynomials;Analysis Mathematica;1985-03

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