Results 1 to 10 of about 593,387 (249)

Shape Preserving Properties for q-Bernstein-Stancu Operators

Journal of Mathematics, 2014
We investigate shape preserving for q-Bernstein-Stancu polynomials Bnq,α(f;x) introduced by Nowak in 2009. When α=0, Bnq,α(f;x) reduces to the well-known q-Bernstein polynomials introduced by Phillips in 1997; when q=1, Bnq,α(f;x) reduces to Bernstein ...
Yali Wang, Yinying Zhou
doaj   +2 more sources

Iterates of a modified Bernstein type operator

Journal of Numerical Analysis and Approximation Theory, 2019
Using the weakly Picard operators technique and the contraction principle, we study the convergence of the iterates of some modified Bernstein type operators.
Teodora Catinas
doaj   +5 more sources

Some identities of degenerate Euler polynomials associated with degenerate Bernstein polynomials

Journal of Inequalities and Applications, 2019
In this paper, we investigate some properties and identities for degenerate Euler polynomials in connection with degenerate Bernstein polynomials by means of fermionic p-adic integrals on Zp $\mathbb{Z}_{p}$ and generating functions.
Won Joo Kim, Dae San Kim, Han Young Kim, Taekyun Kim   +3 more
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Aspects regarding the existence of fixed points of the iterates of Stancu operators [PDF]

Surveys in Mathematics and its Applications, 2019
In the papers Iterates of Stancu Operators, via Contraction Principle (2002), respectively Iterates of Bernstein Operators, via Contraction Principle (2004), author I. A. Rus studied the existence of fixed points for Stancu operators Pn,α,β and Bernstein
Amelia Bucur
doaj  

Approximation by the new modification of Bernstein-Stancu operators

Cumhuriyet Science Journal, 2021
The current paper deals with the new modification of Bernstein-Stancu operators which preserve constant and Korovkin’s other test functions in limit case. We study the uniform convergence of the newly defined operators.
Melek Sofyalıoğlu, Kadir Kanat
doaj  

Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators

Journal of Applied Mathematics, 2012
Lupas-type operators and Szász-Mirakyan-type operators are the modifications of Bernstein polynomials to infinite intervals. In this paper, we investigate the convergence of Lupas-type operators and Szász-Mirakyan-type operators on [0,∞).
Hee Sun Jung, Ryozi Sakai
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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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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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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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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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