Special Issue: Positive Polynomial Sums, Orthogonal Expansions and ApplicationsNo Access

The average errors for linear combinations of Bernstein–Kantorovich operators on the Wiener space

Yanjie Jiang

Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, P. R. China

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and

Zengbo Zhang

Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, P. R. China

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https://doi.org/10.1142/S0219691314610050Cited by:0 (Source: Crossref)

Abstract

In this paper, we discuss the average errors of function approximation by linear combinations of Bernstein–Kantorovich operators. The strongly asymptotic orders for the average errors of these operators sequence are determined on the Wiener space.

Dedicated to Professor Kunyang Wang on the occasion of his 70th birthday

Keywords:

AMSC: 41A35, 41A36, 41A28, 41A25

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