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In the current article, we establish a distinct version of the operators defined by Berwal \emph{et al.}, which is the Kantorovich type modification of $\alpha$-Bernstein operators to approximate Lebesgue's integrable functions. We define…

经典分析与常微分方程 · 数学 2024-09-27 Jaspreet Kaur , Meenu Goyal , Khursheed J. Ansari

In this paper, we introduce a Kantorovich type generalization of q-Bernstein-Stancu operators. We study the convergence of the introduced operators and also obtain the rate of convergence by these operators in terms of the modulus of…

经典分析与常微分方程 · 数学 2015-05-27 M. Mursaleen , Khursheed J. Ansari , Asif Khan

In this paper we introduce the Stancu type generalization of the q-Bernstein-Schurer-Kantorovich operators and examine their approximation properties. We investigate the convergence of our operators with the help of the Korovkin's…

经典分析与常微分方程 · 数学 2016-02-23 M. Mursaleen , Taqseer Khan

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, 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 this paper, we give an interesting generalization of the Stancu type Baskakov-Kantorovich operators based on the q-integers and investigate their approximation properties. Also, we obtain the estimates for the rate of convergence for a…

泛函分析 · 数学 2011-02-15 Cigdem Atakut , Ibrahim Buyukyazici

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 this article we present the Durrmeyer variant of generalized Bernstein operators that preserve the constant functions involving non-negative parameter ?. We derive the approximation behaviour of these operators including global…

经典分析与常微分方程 · 数学 2018-08-07 Arun Kajla , Meenu Goyal

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…

In this article, we analyse the Kantorovich type exponential sampling operators and its linear combination. We derive the Voronovskaya type theorem and its quantitative estimates for these operators in terms of an appropriate K-functional.…

泛函分析 · 数学 2020-02-10 B. Shivam , A. Sathish Kumar

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 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

This paper is in continuation of our work in \cite{PNM}, wherein we introduced generalized Baskakov Kantorovich operators $K_n^a(f;x)$ and established some approximation properties e.g. local approximation, weighted approximation,…

经典分析与常微分方程 · 数学 2015-05-25 Meenu Goyal , P. N. Agrawal

The aim of this article is to introduce a bivariate extension of Shurer-Stancu operators based on (p q)integers. We prove uniform approximation by means of Bohman Korovkin type theorem rate of convergence using total modulus of smoothness…

经典分析与常微分方程 · 数学 2016-02-23 Abdul Wafi , Nadeem Rao

The aim of this article is to introduce the Kantorovich form of generalized Szasz-type operators involving Charlier polynomials with certain parameters. In this paper we discussed the rate of convergence better error estimates and…

经典分析与常微分方程 · 数学 2015-09-16 Abdul Wafi , Nadeem Rao

A new type of combinations of Bernstein operators is given in [1]. Here, we introduce another one, which can be used to approximate the functions with singularities. The direct and inverse results of the weighted approximation of this new…

泛函分析 · 数学 2011-06-28 Wen-ming Lu , Lin Zhang

In the present paper, we consider Stancu type generalization of Baskakov-Kantorovich 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 2015-08-28 Vishnu Narayan Mishra , Preeti Sharma , Adem Kilicman , Dilip Jain

In the present paper, we introduce the Chlodowsky variant of (p,q) Bernstein-Stancu-Schurer operators which is a generalization of (p,q) Bernstein-Stancu-Schurer operators. We have also discussed its approximation properties and rate of…

经典分析与常微分方程 · 数学 2016-02-15 Vishnu Narayan Mishra , M. Mursaleen , Shikha Pandey

Our main purpose of this article is to study the convergence and other related properties of q-Bernstein-Kantorovich operators including the shifted knots of real positive numbers. We design the shifted knots of Bernstein-Kantorovich…

综合数学 · 数学 2022-01-12 Mohammad Ayman Mursaleen , Adem Kilicman , Md. Nasiruzzaman

In this paper, we introduce generalized Baskakov Kantorovich Stancu type operators and investigate direct result, local approximation and weighted approximation properties of these operators. Modulus of continuity, second modulus of…

数值分析 · 数学 2015-08-06 Abdul Wafi , Nadeem Rao
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