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Approximation with Arbitrary Order by Baskakov-Type Operators Preserving Exponential Functions
Bulletin of the Malaysian Mathematical Sciences Society ( IF 1.2 ) Pub Date : 2021-02-01 , DOI: 10.1007/s40840-020-01063-x
Vijay Gupta , Adrian Holhoş

The present paper deals with a generalization of the Baskakov type operators, which preserve an exponential function and approximate functions with arbitrary order. We give some direct results including error estimation and quantitative asymptotic formula. It is observed that the rate of approximation can be made smaller by arbitrarily chosen sequences.



中文翻译:

保留指数函数的Baskakov型算子的任意阶逼近

本文讨论了Baskakov型算子的推广,它保留了指数函数和具有任意阶数的近似函数。我们给出了一些直接的结果,包括误差估计和定量渐近公式。可以看出,可以通过任意选择的序列来减小近似率。

更新日期:2021-02-01
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