保留某些函数的正线性算子的定量结果

General Letters in Mathematics Pub Date : 2019-12-01 DOI:10.2478/gm-2019-0017

M. Birou

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引用次数: 1

摘要

摘要本文给出了用固定函数的正线性算子估计近似误差的方法。我们使用了光滑的一阶和二阶经典模以及二阶连续性的广义模。给出了Bernstein型算子、Kantorovich型算子和真正的Bernstein- durrmeyer型算子的一些应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quantitative results for positive linear operators which preserve certain functions

Abstract In this paper we obtain estimations of the errors in approximation by positive linear operators which fix certain functions. We use both the first and the second order classical moduli of smoothness and a generalized modulus of continuity of order two. Some applications involving Bernstein type operators, Kantorovich type operators and genuine Bernstein-Durrmeyer type operators are presented.

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来源期刊

General Letters in Mathematics

自引率

0.00%

发文量

审稿时长

6 weeks