Results 11 to 20 of about 1,370 (242)
Approximation properties of λ-Bernstein operators. [PDF]
J Inequal Appl, 2018 In this paper, we introduce a new type λ-Bernstein operators with parameter [Formula: see text], we investigate a Korovkin type approximation theorem, establish a local approximation theorem, give a convergence theorem for the Lipschitz continuous functions, we also obtain a Voronovskaja-type asymptotic formula.
Cai QB, Lian BY, Zhou G.
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Shape-preserving properties of a new family of generalized Bernstein operators [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we introduce a new family of generalized Bernstein operators based on q integers, called (α,q) $(\alpha,q)$-Bernstein operators, denoted by Tn,q,α(f) $T_{n,q,\alpha}(f)$. We investigate a Kovovkin-type approximation theorem, and obtain the
Qing-Bo Cai, Xiao-Wei Xu
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Bernstein-Schurer bivariate operators
Journal of Numerical Analysis and Approximation Theory, 2004 The sequence of bivariate operators of Bernstein-Schurer is constructed and some approximation properties of this sequence are studied.
Dan Bărbosu
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Approximation by Fuzzy $(p,q)$-Bernstein-Chlodowsky Operators [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this study, we purpose to extend approximation properties of the $ (p,q)$-Bernstein-Chlodowsky operators from real function spaces to fuzzy function spaces.
Esma Ozkan
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Generalized blending type Bernstein operators based on the shape parameter λ
Journal of Inequalities and Applications, 2022 In the present paper, we construct a new class of operators based on new type Bézier bases with a shape parameter λ and positive parameter s. Our operators include some well-known operators, such as classical Bernstein, α-Bernstein, generalized blending ...
Halil Gezer +3 more
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Lupaş post quantum Bernstein operators over arbitrary compact intervals
Karpatsʹkì Matematičnì Publìkacìï, 2021 This paper deals with Lupaş post quantum Bernstein operators over arbitrary closed and bounded interval constructed with the help of Lupaş post quantum Bernstein bases.
A. Khan +3 more
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On King type modification of $(p,q)$-Lupaş Bernstein operators with improved estimates
Karpatsʹkì Matematičnì Publìkacìï, 2023 This paper aims to modify the $(p,q)$-Lupaş Bernstein operators using King's technique and to establish convergence results of these operators by using of modulus of continuity and Lipschitz class functions.
K.S. Nisar, V. Sharma, A. Khan
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Genuine modified Bernstein–Durrmeyer operators [PDF]
Journal of Inequalities and Applications, 2018 The present paper deals with genuine Bernstein-Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre [Formula: see text]-functional and corresponding modulus of smoothness, quantitative Voronovskaya type theorem and Grüss-Voronovskaya type theorem in quantitative mean are discussed.
Syed Abdul Mohiuddine +2 more
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Some Probabilistic Generalizations of the Cheney–Sharma and Bernstein Approximation Operators
Axioms, 2022 The objective of this paper is to give some probabilistic derivations of the Cheney, Sharma, and Bernstein approximation operators. Motivated by these probabilistic derivations, generalizations of the Cheney, Sharma, and Bernstein operators are defined ...
Seng Huat Ong +3 more
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Differentiated Bernstein type operators
Dolomites Research Notes on Approximation, 2020 1. The second author has been supported within TUBITAK (The Scientific and Technological Research Council of Turkey) 1002 -Project 119F191 and the third author would like to thank to TUBITAK for their financial supports during his PhD studies.
Aral, Ali, Acar, Tuncer, Ozsarac, Firat
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