Results 1 to 10 of about 1,183,399 (304)
King type modification of q-Bernstein-Schurer operators [PDF]
Czechoslovak Mathematical Journal, 2013 For a King-type modification of \(q\)-Bernstein-Schurer operators, some estimations of the rate of convergence are established. A Voronovskaja-type asymptotic formula is also obtained for these operators.
Xiao-Ming Zeng, Mei-Ying Ren
exaly +3 more sources
Remarks on a Bernstein-type operator of Aldaz, Kounchev and Render
Journal of Numerical Analysis and Approximation Theory, 2021 The Bernstein-type operator of Aldaz, Kounchev and Render (2009) is discussed. New direct results in terms of the classical second order modulus as well as in a modification following Marsden and Schoenberg are given.
Ana Maria Acu +2 more
doaj +7 more sources
On Sequences of J. P. King-Type Operators [PDF]
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 andx2on[0,1]. Nowadays, these operators are known as King operators, in honor of J. P.
Tuncer Acar +3 more
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Advances in Difference Equations, 2021 In this work, we construct the genuine Durrmeyer–Stancu type operators depending on parameter α in [ 0 , 1 ] $[0,1]$ as well as ρ > 0 $\rho >0$ and study some useful basic properties of the operators.
Abdullah Alotaibi +3 more
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Dunkl-type generalization of the second kind beta operators via ( p , q ) $(p,q)$ -calculus
Journal of Inequalities and Applications, 2021 The main purpose of this research article is to construct a Dunkl extension of ( p , q ) $(p,q)$ -variant of Szász–Beta operators of the second kind by applying a new parameter.
Md. Nasiruzzaman +2 more
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Schurer operators of King type [PDF]
Creative Mathematics and Informatics, 2013 A class of linear and positive operators defined by finite sum which generalizes the classical Schurer’s operators in the King sense is constructed. For the mentioned class of operators, uniform convergences results, error estimations in terms of modulus of continuity and Voronovskaja type theorems are established.
PETRU I. BRAICA +2 more
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Approximation of GBS Type q-Jakimovski-Leviatan-Beta Integral Operators in Bögel Space
Mathematics, 2022 In the present article, we introduce the bivariate variant of Beta integral type operators based on Appell polynomials via q-calculus. We study the local and global type approximation properties for these new operators.
Abdullah Alotaibi
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Mathematics, 2023 In this paper, we construct the bivariate Szász–Jakimovski–Leviatan-type operators in Dunkl form using the unbounded sequences αn, βm and ξm of positive numbers.
Abdullah Alotaibi
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Solvability of second order linear differential equations in the sequence space n(ϕ) $n(\phi)$
Advances in Difference Equations, 2018 We apply the concept of measure of noncompactness to study the existence of solution of second order differential equations with initial conditions in the sequence space n(ϕ) $n(\phi)$.
Abdullah Alotaibi +2 more
doaj +1 more source
Approximation on a class of Phillips operators generated by q-analogue
Journal of Inequalities and Applications, 2020 The main purpose of this article is to introduce a new generalization of q-Phillips operators generated by Dunkl exponential function. We establish some approximation results for these operators. We also determine the order of approximation, and the rate
Abdullah Alotaibi
doaj +1 more source