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This paper discusses the properties of a modified version of the Stancu variant Sz\'asz-Mirakjan Kantorovich type operators. We determine the order of approximation in terms of the modulus of continuity and second-order of smoothness, and…

泛函分析 · 数学 2024-10-25 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

In the present article, we propose the generalization of Sz\'{a}sz-Mirakyan operators, which is a class of linear positive operators of discrete type depending on a real parameters. We give theorem of degree of approximation, the…

经典分析与常微分方程 · 数学 2015-09-01 Prashantkumar Patel , Vishnu Narayan Mishra

In this paper we introduce a general family of Sz\'asz--Mirakjan--Durrmeyer type operators depending on an integer parameter $j \in \mathbb{Z}$. They can be viewed as a generalization of the Sz\'asz--Mirakjan--Durrmeyer operators [9],…

经典分析与常微分方程 · 数学 2024-07-24 Ulrich Abel , Ana Maria Acu , Margareta Heilmann , Ioan Rasa

In this paper, we introduce new modifications of Szasz-Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to…

经典分析与常微分方程 · 数学 2016-06-23 Tuncer Acar

In the present article we define the Jain type modification of the generalized Szasz-Mirakjan operators that preserve constant and exponential mappings. Moments, recurrence formulas, and other identities are established for these operators.…

经典分析与常微分方程 · 数学 2018-05-21 G. C. Greubel

In this work, we investigate weighted $\alpha$$\beta$-Statistical approximation properties of $q$-Durrmeyer-Stancu operators. Also, give some corrections in limit of $q$-Durrmeyer-Stancu operators defined in \cite{mishra2013short} and…

经典分析与常微分方程 · 数学 2015-09-01 Vishnu Narayan Mishra , Prashantkumar Patel

In this paper, we deal with the complex Baskakov-Szasz-Durrmeyer mixed operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of exponential growth in the open disk of…

经典分析与常微分方程 · 数学 2015-06-24 Sorin G. Gal , Vijay Gupta

The purpose of this article is to give a Chlodowsky type generalization of Szasz operators defined by means of the Sheffer type polynomials. We obtain convergence properties of our operators with the help of Korovkin's theorem and the order…

经典分析与常微分方程 · 数学 2016-01-06 M. Mursaleen , Khursheed J. Ansari

In the present paper, we introduce the generalized form of $(p,q)$ Baskakov-Durrmeyer Operators with Stancu type parameters. We derived the local and global approximation properties of these operators and obtained the convergence rate and…

经典分析与常微分方程 · 数学 2016-02-24 Vishnu Narayan Mishra , Shikha Pandey

In this paper, we construct a linear positive operators q-parametric Szasz-Mirakjan operators generated by the q-Dunkl generalization of the exponential function. We obtain Korovkin's type approximation theorem for these operators and…

经典分析与常微分方程 · 数学 2015-11-23 M. Mursaleen , Md. Nasiruzzaman

This article investigates the convergence properties of s-numbers of certain truncations of bounded linear operators between Banach spaces. We prove a generalized version of a known convergence result for the approximation numbers of…

泛函分析 · 数学 2024-12-18 Deepesh K P

In this paper, we study a natural modification of Sz\'{a}sz - Mirakjan operators. It is shown by discussing many important established results for Sz\'{a}sz - Mirakjan operators. The results do hold for this modification as well, be they…

经典分析与常微分方程 · 数学 2017-05-24 R. B. Gandhi , Vishnu Narayan Mishra

In this paper, we are dealing with a new type of Baskakov-Schurer-Szasz operators (\ref{eq1}). Approximation properties of this operators are explored: the rate of convergence in terms of the usual moduli of smoothness is given, the…

泛函分析 · 数学 2015-08-24 Vishnu Narayan Mishra , Preeti Sharma

In the present paper, we consider Stancu type generalization of Baskakov-Sz\'{a}sz operators based on the q-integers and obtain statistical and weighted statistical approximation properties of these operators. Rates of statistical…

经典分析与常微分方程 · 数学 2018-10-19 Vishnu Narayan Mishra , Preeti Sharma Joshi , Lakshmi Narayan Mishra

The main aim of this study is to introduce statistical approximation properties of (p; q)-Szasz Mirakjan Kantorovich operators with the help of the Korovkin type statistical approximation theorem. Rates of statistical convergence by means…

经典分析与常微分方程 · 数学 2016-04-19 Bhausaheb R. Sontakke , Amjad Shaikh

In the present article we define the Phillips type modification of the generalized Sz\'asz-Mirakjan operators. Moments, recurrence formulas, and other identities are established for these operators. Approximation properties are also…

经典分析与常微分方程 · 数学 2017-09-05 Vijay Gupta , G. C. Greubel

In the present paper we propose a Kantorovich variant of (p,q)-analogue of Szasz-Mirakjan operators. We establish the moments of the operators with the help of a recurrence relation that we have derived and then prove the basic convergence…

经典分析与常微分方程 · 数学 2015-12-14 M. Mursaleen , Khursheed J. Ansari , Abylkassymova Elmira

In this present manuscript, we discuss properties of modified Baskakov-Durrmeyer-Stancu (BDS) operators with parameter $\gamma>0$. We compute the moments of these modified operators. Also, establish point-wise convergence, Voronovskaja type…

经典分析与常微分方程 · 数学 2015-09-15 Prashantkumar Patel , Vishnu Narayan Mishra

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…

泛函分析 · 数学 2019-12-24 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

The Sz\'asz-Mirakyan operator is known as a positive linear operator which uniformly approximates a certain class of continuous functions on the half line. The purpose of the present paper is to find out limiting behaviors of the iterates…

概率论 · 数学 2023-06-05 Jirô Akahori , Ryuya Namba , Shunsuke Semba