Results 1 to 10 of about 537 (141)

Approximation properties of λ-Kantorovich operators. [PDF]

J Inequal Appl, 2018
In the present paper, we study a new type of Bernstein operators depending on the parameter λ∈[−1,1] $\lambda\in[-1,1]$. The Kantorovich modification of these sequences of linear positive operators will be considered.
Acu AM, Manav N, Sofonea DF.
europepmc   +2 more sources

Approximation Properties of λ-Gamma Operators Based on q-Integers

Journal of Function Spaces, 2020
In the present paper, we will introduce λ-Gamma operators based on q-integers. First, the auxiliary results about the moments are presented, and the central moments of these operators are also estimated.
Wen-Tao Cheng, Xiao-Jun Tang
doaj   +2 more sources

Approximation properties of λ-Bernstein operators. [PDF]

J Inequal Appl, 2018
In this paper, we introduce a new type λ-Bernstein operators with parameter λ∈[−1,1] $\lambda\in[-1,1]$, we investigate a Korovkin type approximation theorem, establish a local approximation theorem, give a convergence theorem for the Lipschitz ...
Cai QB, Lian BY, Zhou G.
europepmc   +2 more sources

Approximation Properties of Generalized λ-Bernstein–Stancu-Type Operators

Journal of Mathematics, 2021
The present study introduces generalized λ-Bernstein–Stancu-type operators with shifted knots. A Korovkin-type approximation theorem is given, and the rate of convergence of these types of operators is obtained for Lipschitz-type functions.
Qing-Bo Cai, Gülten Torun, Ülkü Dinlemez Kantar   +2 more
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Approximation by Genuine q-Bernstein-Durrmeyer Polynomials in Compact Disks in the Case q>1 [PDF]

Abstract and Applied Analysis, 2014
This paper deals with approximating properties of the newly defined q-generalization of the genuine Bernstein-Durrmeyer polynomials in the case q>1, which are no longer positive linear operators on C0,1.
Nazim I. Mahmudov
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On Stancu-Type Generalization of Modified p,q-Szász-Mirakjan-Kantorovich Operators

Journal of Function Spaces, 2021
In the present article, we construct p,q-Szász-Mirakjan-Kantorovich-Stancu operators with three parameters λ,α,β. First, the moments and central moments are estimated.
Yong-Mo Hu, Wen-Tao Cheng, Chun-Yan Gui, Wen-Hui Zhang   +3 more
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On a Family of Parameter-Based Bernstein Type Operators with Shape-Preserving Properties

Journal of Mathematics, 2023
This article aims to introduce a new linear positive operator with a parameter. Our focus lies in analyzing the distinct characteristics and inherent properties exhibited by this operator.
Bahareh Nouri, Jamshid Saeidian
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Some Approximation Properties of the p,q–Stancu–Schurer–Bleimann–Butzer–Hahn Operators

Journal of Mathematics
In this article, the p,q–Stancu–Schurer–Bleimann–Butzer–Hahn (p,q-SSBBH) operators are introduced. The Korovkin-type theorem is obtained to show the approximation properties of these operators.
Gülten Torun
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A new kind of Bernstein-Schurer-Stancu-Kantorovich-type operators based on q-integers. [PDF]

J Inequal Appl, 2017
Chauhan R, Ispir N, Agrawal PN.
europepmc   +2 more sources

Approximation by q-Post-Widder Operators Based on a New Parameter

Abstract and Applied Analysis
The purpose of this paper is to introduce q-Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated.
Qiu Lin
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