Results 31 to 40 of about 991 (95)

Some approximation properties of ( p , q ) $(p,q)$ -Bernstein operators

Journal of Inequalities and Applications, 2016
This paper is concerned with the ( p , q ) $(p,q)$ -analog of Bernstein operators. It is proved that, when the function is convex, the ( p , q ) $(p,q)$ -Bernstein operators are monotonic decreasing, as in the classical case.
Shin Min Kang, Arif Rafiq, Ana-Maria Acu, Faisal Ali, Young Chel Kwun   +4 more
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Stancu type q-Bernstein operators with shifted knots

Journal of Inequalities and Applications, 2020
In the present paper, Stancu type generalizations of the q-analog of Lupaş Bernstein operators with shifted knots are introduced. Some approximation results and rate of convergence for these operators are investigated.
M. Mursaleen, Mohd Qasim, Asif Khan, Zaheer Abbas   +3 more
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Multiple Binomial-Type Operators and Their Approximation Properties

Journal of Mathematics
In this paper, we introduce multiple binomial-type operators (multiple Bernstein–Sheffer operators) and investigate their approximation properties. These properties are analyzed by means of a Korovkin-type theorem.
Mehmet Ali Özarslan, Bayram Çekim, Sezin Çit   +2 more
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Approximation by Schurer Type λ-Bernstein–Bézier Basis Function Enhanced by Shifted Knots Properties

Mathematics
In this article, a novel Schurer form of λ-Bernstein operators augmented by Bézier basis functions is presented by utilizing the features of shifted knots.
Abdullah Alotaibi
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On simultaneous approximation for some modified Bernstein-type operators

International Journal of Mathematics and Mathematical Sciences, 2004
We study the simultaneous approximation for a certain variant of Bernstein-type operators.
Vijay Gupta, Nurhayat Ispir
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Shape-preserving properties of a new family of generalized Bernstein operators

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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Iterates of Bernstein Type Operators on a Triangle with All Curved Sides

Abstract and Applied Analysis, 2014
We consider some Bernstein-type operators as well as their product and Boolean sum for a function defined on a triangle with all curved sides. Using the weakly Picard operators technique and the contraction principle, we study the convergence of the ...
Teodora Cătinaş
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Approximation properties of λ-Kantorovich operators

Journal of Inequalities and Applications, 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.
Ana-Maria Acu, Nesibe Manav, Daniel Florin Sofonea   +2 more
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On Sequences of J. P. King-Type Operators

Journal of Function Spaces, 2019
This survey is devoted to a series of investigations developed in the last fifteen years, starting from the introduction of a sequence of positive linear operators which modify the classical Bernstein operators in order to reproduce constant functions ...
Tuncer Acar, Mirella Cappelletti Montano, Pedro Garrancho, Vita Leonessa   +3 more
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Genuine modified Bernstein–Durrmeyer operators

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 K $\mathcal{K}$-functional and corresponding modulus of smoothness, quantitative Voronovskaya ...
Syed Abdul Mohiuddine, Tuncer Acar, Mohammed A. Alghamdi   +2 more
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