首页/论文/2002.05338

arXiv 2002.053382020-02-13math.FA

Further approximations of Durrmeyer modification of Szasz-Mirakjan operators

Rishikesh Yadav, Ramakanta Meher, Vishnu Narayan Mishra

英文摘要：

The main purpose of this paper is to determine the approximations of Durrmeyer modification of Szasz-Mirakjan operators, defined by Mishra et al. (Boll. Unione Mat. Ital. (2016) 8(4):297-305). We estimate the order of approximation of the operators for the functions belonging to the different spaces. Here, the rate of convergence of the said operators is established by means of the function with derivative of the bounded variation. At last, the graphical analysis is discussed to support the approximation results of the operators.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

阅读原文

阅读 PDF ↗

arXiv 页面 ↗HTML 原文 ↗

本文内容

英文摘要相关论文

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

继续探索

相关论文

Approximation on Durrmeyer modification of generalized Szasz-Mirakjan operators

This paper deals with the approximations of Durrmeyer type generalization of Szasz-Mirakjan operators. We establish the direct results, quantitative Voronovskaya type theorem, Gruss type theorem, A-statistical convergence, rate of convergence in terms of the function with derivative of bounded variation. At last, the graphical analysis, comparison study and numerical representations of proposed operators are discussed.

2019-11-29math.FA

Construction of Szasz-Mirakjan-type operators which preserve a^x; a > 1

In this paper, we introduce a new type of Szasz-Mirakjan operators, which preserve a^x, a > 1 fixed and x\geq 0. We study uniform convergence of the operators by using some auxiliary results and also error estimation is given. The convergence of said operators are shown and analyzed by graphics, also in the same direction, we find a better rate of convergence than Szasz-Mirakjan operators by analyzing the graphics. Voronovskaya-type theorem is studied and a comparison is shown under a sense of convexity with Szasz- Mirakjan operators. In the last section, a modified sequence is constructed in …

2020-01-18math.FA

Approximation of associated GBS operators by Szasz-Mirakjan type operators

In this article, the approximation properties of the Szasz-Mirakjan type operators are studied for the function of two variables, and the rate of convergence of the bivariate operators is determined in terms of total and partial modulus of continuity. An associated GBS (Generalized Boolean Sum)-form of the bivariate Szasz-Mirakjan type operators are considered for the function of two variables to find an approximation of B-continuous and B-differentiable function in the Bogel's space. Further, the degree of approximation of the GBS type operators is found in terms of mixed modulus of smoothnes…

2020-05-25math.FA

Local and global results for modified Szász - Mirakjan operators

In this paper, we study a natural modification of Szász - Mirakjan operators. It is shown by discussing many important established results for Szász - Mirakjan operators. The results do hold for this modification as well, be they local in nature or global, be they qualitative or quantitative. It is also shown that this generalization is meaningful by means of examples and graphical representations.

2016-04-02math.CAmath.FA

Approximation properties by some modified Szasz-Mirakjan-Kantorovich operators

The present article deals with the local approximation results by means of Lipschitz maximal function, Ditzian-Totik modulus of smoothness and Lipschitz type space having two parameters for the summation-integral type operators defined by Mishra and Yadav (Tbilisi Mathematical Journal. 11(3), (2018), 175-91). Further, we determine the rate of convergence in the term of the with derivative of bounded variation and for the quantitative means of the defined operators, we establish the quantitative Voronovskaya type and Gr$\ddot{\text{u}}$ss type theorems. Moreover, the examples are given with gra…

2019-12-10math.FA

Stancu型Szász-Mirakjan-Kantorovich算子的变体：逼近性质与渐近分析

A Stancu Variant of Szász-Mirakjan-Kantorovich type Operators: Approximation Properties and Asymptotic Analysis

Sardar Vallabhbhai National Institute of Technology Surat（萨达尔·瓦拉巴伊国家技术学院苏拉特）

本文研究Stancu型Szász-Mirakjan-Kantorovich算子的广义版本，确定其逼近阶、收敛速率等性质，证明相关定理并给出数值例子验证理论结果。

2026-08-05math.FA

更多相关论文收起更多论文

Modified Stancu-type Dunkl generalization of Szasz- Kantorovich-operators

In this paper, we introduce a modification of the Szasz-Mirakjan-Kantorovich operators as well as Stancu operators [9] (or a Dunkl generalization of modified Szasz-Mirakjan-Kantrovich operators [5]) which preserve the linear functions. These types of operators modification enables better error estimation than the classical Dunkl Szasz-MirakjanKantrovich as well as Stancu operators. We obtain some approximation results via well known Korovkin's type theorem, weighted Korovkin's type theorem convergence properties by using the modulus of continuity and the rate of convergence of the operators fo…

2016-03-21math.CAmath.FA

Approximation by q-Szasz operators

his paper deals with approximating properties of the newly defined $q$-generalization of the Szász operators in the case $q>1$. Quantitative estimates of the convergence in the polynomial weighted spaces and the Voronovskaja's theorem are given. In particular, it is proved that the rate of approximation by the $q$-Szász operators ($q>1$) is of order $q^{-n}$ versus $1/n$ for the classical Szász--Mirakjan operators.

2010-05-21math.FA

Results on bivariate Szasz-Mirakyan type operators in polynomial weight spaces

In this paper, bivariate Szasz-Mirakjan type operators are introduced along with the estimation of its approximation properties and its rate of convergence. Furthermore, to check the asymptotic behavior of the said bivariate operators, the Voronovskaya type theorem is proved and determined the simultaneous approximation of the operators for first-order partial derivative. Finally, the convergence behavior of the bivariate operators are obtained through graphical representation and validated the numerical results with the results of Szasz-Mirakjan operators for the function of two variables.

2019-11-19cs.NAmath.FAmath.NA

Convergence of the summation-integral type operators via statistically

Our main aim is to investigate the approximation properties for the summation integral type operators in a statistical sense. In this regard, we prove the statistical convergence theorem using well known Korovkin theorem and the degree of approximation is determined. Also using weight function, the weighted statistical convergence theorem with the help of Korovkin theorem is obtained. The statistical rate of convergence in the terms of modulus of continuity and function belonging to the Lipschitz class is obtained. To support the convergence results of the proposed operators to the function, g…

2019-12-23math.FA