广义Szasz算子和Bernstein-Chlodowsky算子的逼近性质

IF 0.7 Q2 MATHEMATICS

Tbilisi Mathematical Journal Pub Date : 2021-06-01 DOI:10.32513/tmj/19322008132

A. Mammadova, A. Abdullayeva

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引用次数: 0

摘要

本文考虑广义Bernstein-Chlodowsky多项式和二元广义Szasz算子。对于第一个算子，我们得到了正半轴有界区间的收敛性。对于第二个算子，我们得到了正半轴上的直接逼近性质，作为两变量广义Szasz算子通过两变量加权连续模的估计。

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Approximation properties of generalized Szasz and Bernstein-Chlodowsky operators

In the present paper we consider the generalized Bernstein-Chlodowsky polynomial and two variable generalized Szasz operator. For the first operator we obtain convergence property on bounded intervals of positive semi-axis. For the second operator, we obtain direct approximation property on positive semi-axis as estimate of the two variable generalized Szasz operator by two variable weighted modulus of continuity.

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Tbilisi Mathematical Journal MATHEMATICS-

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