Durrmeyer variant of certain approximation operators

IF 2.4 3区数学 Q1 MATHEMATICS

Journal of Applied Mathematics and Computing Pub Date : 2024-05-12 DOI:10.1007/s12190-024-02113-4

Vijay Gupta, Vaibhav Sharma

引用次数: 0

Abstract

In the present article, we introduce a Durrmeyer variant of certain approximation operators. We estimate the moment-generating function and moments of these operators employing the Lambert W function and establish some direct results. We further provide a composition of these operators with Szász–Mirakjan operators and estimate direct results for the composition operator. Additionally, we provide a graphical comparison of the approximation properties of the operators.

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某些近似算子的杜尔迈耶变式

在本文中，我们介绍了某些近似算子的杜尔迈耶变体。我们利用兰伯特 W 函数估计了这些算子的矩生成函数和矩，并建立了一些直接结果。我们进一步提供了这些算子与 Szász-Mirakjan 算子的组合，并估算了组合算子的直接结果。此外，我们还对这些算子的近似性质进行了图解比较。

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

Journal of Applied Mathematics and Computing Mathematics-Computational Mathematics

CiteScore

4.20

自引率

4.50%

发文量

131

期刊介绍： JAMC is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical computing. Major areas, such as numerical analysis, discrete optimization, linear and nonlinear programming, theory of computation, control theory, theory of algorithms, computational logic, applied combinatorics, coding theory, cryptograhics, fuzzy theory with applications, differential equations with applications are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.