近似Baskakov-Szász-Stancu算子保持指数函数

IF 1.1 Q1 MATHEMATICS

Constructive Mathematical Analysis Pub Date : 2018-09-15 DOI:10.33205/CMA.450708

Murat Bodur, Övgü Gürel Yılmaz, A. Aral

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引用次数: 37

摘要

本文的目的是构造一类已知Baskakov-Sza - sz-Stancu保持常数和$e^{2ax}的一般算子，即>0$函数。我们仔细研究了一个一致收敛结果，并分析了算子的渐近行为。最后，我们讨论了指数加权空间中对应序列的收敛性，并比较了经典的Baskakov-Sza sz-Stancu算子与最近的算子哪一种更接近。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Approximation by Baskakov-Szász-Stancu Operators Preserving Exponential Functions

The purpose of this paper is to construct a general class of operators which has known Baskakov-Sza sz-Stancu that preserving constant and $e^{2ax}, a>0$ functions. We scrutinize a uniform convergence result and analyze the asymptotic behavior of our operators, as well. Finally, we discuss the convergence of corresponding sequences in exponential weighted spaces and make a comparison about which one approximates better between classical Baskakov-Sza sz-Stancu operators and the recent operators.

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来源期刊

Constructive Mathematical Analysis Mathematics-Analysis

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

6 weeks