Approximation by Baskakov-Szász-Stancu Operators Preserving Exponential Functions

IF 1.1 Q1 MATHEMATICS
Murat Bodur, Övgü Gürel Yılmaz, A. Aral
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引用次数: 37

Abstract

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.
近似Baskakov-Szász-Stancu算子保持指数函数
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。
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来源期刊
Constructive Mathematical Analysis
Constructive Mathematical Analysis Mathematics-Analysis
CiteScore
2.40
自引率
0.00%
发文量
18
审稿时长
6 weeks
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