Results 1 to 10 of about 570,801 (287)

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, Hüseyin Aktuğlu, Erdem Baytunç, Mehmet Salih Atamert   +3 more
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 [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.
europepmc   +6 more sources

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
doaj   +2 more sources

Approximation by Stancu-type α-Bernstein-Schurer-Kantorovich operators

Journal of Inequalities and Applications
In the present article, we study the approximation properties of constructed operators based on the shape parameter α. We construct the Stancu-type operators of α-Bernstein–Schurer–Kantorovich operators. Here the shape parameter α ∈ [ 0 , 1 ] $\alpha \in
Md. Nasiruzzaman
doaj   +2 more sources

ψ‐Bernstein–Kantorovich operators

Mathematical Methods in the Applied Sciences
In this article, we introduce a modified class of Bernstein–Kantorovich operators depending on an integrable function and investigate their approximation properties. By choosing an appropriate function , the order of approximation of our operators to a function is at least as good as the classical Bernstein–Kantorovich operators on the interval .
Huseyin Aktuglu
exaly   +3 more sources

On an extremal relation of Bernstein operators

Journal of Approximation Theory, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J M Quesada
exaly   +3 more sources

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
doaj   +1 more source

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, M. Iliyas, M.S. Mansoori, M. Mursaleen   +3 more
doaj   +1 more source

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
doaj   +1 more source

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, Choung Min Ng, Hong Keat Yap, Hari Mohan Srivastava   +3 more
doaj   +1 more source