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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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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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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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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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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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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Better Uniform Approximation by New Bivariate Bernstein Operators
International Journal of Analysis and Applications, 2022 In this paper we introduce new bivariate Bernstein type operators BnM,i(f; x, y), i = 1, 2, 3. The rates of approximation by these operators are calculated and it is shown that the errors are significantly smaller than those of ordinary bivariate ...
Asha Ram Gairola +4 more
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Modified Operators Interpolating at Endpoints
Mathematics, 2021 Some classical operators (e.g., Bernstein) preserve the affine functions and consequently interpolate at the endpoints. Other classical operators (e.g., Bernstein–Durrmeyer) have been modified in order to preserve the affine functions.
Ana Maria Acu +2 more
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Approximation properties of the new type generalized Bernstein-Kantorovich operators
AIMS Mathematics, 2022 In this paper, we introduce new type of generalized Kantorovich variant of α-Bernstein operators and study their approximation properties. We obtain estimates of rate of convergence involving first and second order modulus of continuity and Lipschitz ...
Mustafa Kara
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Lieb-Thirring Bound for Schr\"odinger Operators with Bernstein Functions of the Laplacian [PDF]
, 2012 A Lieb-Thirring bound for Schr\"odinger operators with Bernstein functions of the Laplacian is shown by functional integration techniques.
Bardou F. +14 more
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