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相关论文: (p, q)-Sz\'asz-Mirakyan-Baskakov-Stancu type Opera…

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In this paper, First we have given the modified form of (p,q)-analogues of Bernstein and Bernstein operators [21-23] and then we introduce a new analogue of Bernstein-Kantorovich operators which we call as (p,q)-Bernstein-Kantorovich…

经典分析与常微分方程 · 数学 2016-01-18 M. Mursaleen , Khursheed J. Ansari , Asif Khan

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

The aim of this paper is to introduce a generalization of the (p,q)-Bleimann-Butzer-Hahn operators based on (p,q)-integers and obtain Korovkin's type statistical approximation theorem for these operators. Also, we establish the rate of…

经典分析与常微分方程 · 数学 2015-11-27 M. Mursaleen , Taqseer Khan

In the present manuscript, we present a new sequence of operators, $i.e.$, $\alpha$-Bernstein-Schurer-Kantorovich operators depending on two parameters $\alpha\in[0,1]$ and $\rho>0$ for one and two variables to approximate measurable…

综合数学 · 数学 2022-08-29 Nadeem Rao , Mamta Rani , Adem Kiliçman , Pradeep Malik , Mohammad Ayman-Mursaleen

The aim of this research is to examine various statistical approximation properties with respect to Kantorovich \textit{\text{\texthtq}}-Baskakov operators using wavelets. We discuss and investigate a weighted statistical approximation…

We study approximation properties of linear sampling operators in the spaces $L_p$ for $1\le p<\infty$. By means of the Steklov averages, we introduce a new measure of smoothness that simultaneously contains information on the smoothness of…

经典分析与常微分方程 · 数学 2022-02-11 Yurii Kolomoitsev , Tetiana Lomako

In the present paper, we deal with Bernstein-Chlodowsky type operators for approximating functions on the domain. We first present Bernstein-Chlodowsky type operators in two variables and then we discuss some examples of these operators…

综合数学 · 数学 2025-01-08 Sevilay Kirci Serenbay , Rabia Aktaş Karaman

In this paper, we introduce a Shurer type genaralization of (p,q)-Bernstein-Kantorovich operators based on (p,q)-integers and we call it as (p,q)-Bernstein-Schurer Kantorovich operators. We study approximation properties for these operators…

经典分析与常微分方程 · 数学 2015-06-09 M. Mursaleen , Faisal Khan

In this paper, we introduce a generalization of the $q$-Meyer-Konig and Zeller operators by means of the $(p,q)$-integers as well as of the $(p,q)$-Gaussian binomial coefficients. For $ 0< q < p <= 1,$ the sequence of the…

经典分析与常微分方程 · 数学 2016-03-31 U. Kadak , Asif Khan , M. Mursaleen

In this paper, we introduce a generalization of the Bleimann-Butzer-Hahn operators based on (p,q)-integers and obtain Korovkin's type approximation theorem for these operators. Furthermore, we compute convergence of these operators by using…

经典分析与常微分方程 · 数学 2015-11-25 M. Mursaleen , Md. Nasiruzzaman , Asif Khan , Khursheed J. Ansari

Recently, Mursaleen et al applied (p,q)-calculus in approximation theory and introduced (p,q)-analogue of Bernstein operators in [16]. In this paper, we construct and introduce a generalization of the bivariate Bleimann-Butzer-Hahn…

经典分析与常微分方程 · 数学 2015-06-09 M. Mursaleen , Md. Nasiruzzaman

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…

数值分析 · 数学 2019-11-21 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

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…

泛函分析 · 数学 2020-02-14 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

In this paper, we describe two novel changes to the Baskakov-Durrmeyer operators that improve their approximation performance. These improvements are especially designed to produce higher rates of convergence, with orders of one or two.…

数值分析 · 数学 2024-11-12 Jaspreet Kaur , Meenu Goyal

In this paper, we introduce Durrmeyer type modification of Meyer-Konig-Zeller operators based on (p,q)-integers. Rate of convergence of these operators are explored with the help of Korovkin type theorems. We establish some direct results…

经典分析与常微分方程 · 数学 2017-06-23 Honey Sharma , Cheena Gupta , Ramapati Maurya

We study the class of $(p,q)$-regular operators between quasi-Banach lattices. In particular, a representation of this class as the dual of a certain tensor norm for Banach lattices is given. We also provide some factorization results for…

泛函分析 · 数学 2017-08-14 Enrique A. Sánchez-Pérez , Pedro Tradacete

In this paper, we introduce a new family of Szasz-Mirakyan-Durrmeyer operators defined on the half-line [0,\infty), constructed using Laguerre-type kernels. We discuss in detail the algebraic structure and analytical properties of these…

综合数学 · 数学 2025-11-12 Prashantkumar G. Patel

In the present note, we give the generalization of $\alpha-$Baskakov Durrmeyer operators depending on a real parameter $\rho$ > 0. We present the approximation results in Korovkin and weighted Korovkin spaces. We also prove the order of…

经典分析与常微分方程 · 数学 2020-12-29 Jaspreet Kaur , Meenu Goyal

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…

泛函分析 · 数学 2020-05-27 Rishikesh Yadav , Ramakanta Meher , Vishnu Narayan Mishra

In the present paper, we introduce a Choldowsky type generalization of the q Favard-Szasz operators and obtain weighted statistical approximation properties of these operators. We also establish the rates of statistical convergence by means…

经典分析与常微分方程 · 数学 2015-05-27 Ali Karaisa