Approximation by modified $(p,q)$-gamma-type operators

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-03-21 DOI:10.1186/s13660-024-03109-1

Naim Latif Braha

引用次数: 0

Abstract

The main object of this paper is to construct a new class of modified $(p,q)$ -Gamma-type operators. For this new class of operators, in section one, the general moments are find; in section two, the Korovkin-type theorem and some direct results are proved by considering the modulus of continuity and modulus of smoothness and their behavior in Lipschitz-type spaces. In section three, some results in the weighted spaces are given, and in the end, some shape-preserving properties are proven.

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用修正的（(p,q)）-伽马型算子进行逼近

本文的主要目的是构建一类新的修正 $(p,q)$ -伽马型算子。对于这一类新算子，在第一节中找到了一般矩；在第二节中，通过考虑连续性模量和平滑性模量及其在 Lipschitz 型空间中的行为，证明了 Korovkin 型定理和一些直接结果。第三节给出了加权空间中的一些结果，最后证明了一些保形性质。

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 Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.

Approximation by modified \((p,q)\)-gamma-type operators

Abstract