The Second Ditzian-Totik modulus revisited: refined estimates for positive linear operators-Reference-Cited by-同舟云学术

The Second Ditzian-Totik modulus revisited: refined estimates for positive linear operators

Published:2003-02-01 Issue:1 Volume:32 Page:39-61
ISSN:2501-059X
Container-title:Journal of Numerical Analysis and Approximation Theory
language:
Short-container-title:J. Numer. Anal. Approx. Theory

Author:

Gonska Heinz H.,Tachev Gancho T.

Abstract

Direct theorems for approximation by positive linear operators in terms of the second order Ditzian-Totik modulus of smoothness are proved. Special emphasis is on the magnitude of the absolute constants. New results are obtained for Bernstein operators, for piecewise linear interpolation, for general Bernstein-Stancu operators and for those of Gavrea.

Publisher

Academia Romana Filiala Cluj

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Mathematics (miscellaneous)

Link

https://ictp.acad.ro/jnaat/journal/article/download/2003-vol32-no1-art5/Gonska-Tachev-pdf

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