Approximation Properties of Generalized λ‐Bernstein–Stancu‐Type Operators
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 The present study introduces generalized λ‐Bernstein–Stancu‐type operators with shifted knots. A Korovkin‐type approximation theorem is given, and the rate of convergence of these types of operators is obtained for Lipschitz‐type functions. Then, a Voronovskaja‐type theorem was given for the asymptotic behavior for these operators.
Qing-Bo Cai +3 more
wiley +1 more source
Quantitative estimates of convergence in nonlinear operator extensions of Korovkin's theorems
, 2023 This paper is aimed to prove a quantitative estimate (in terms of the modulus of continuity) for the convergence in the nonlinear version of Korovkin's theorem for sequences of weakly nonlinear and monotone operators defined on spaces of continuous real ...
Gal, Sorin G. Gal Sorin G. +1 more
core +1 more source
Approximation Properties of (p, q)‐Szász‐Mirakjan‐Durrmeyer Operators
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this article, we introduce a new Durrmeyer‐type generalization of (p, q)‐Szász‐Mirakjan operators using the (p, q)‐gamma function of the second kind. The moments and central moments are obtained. Then, the Voronovskaja‐type asymptotic formula is investigated and point‐wise estimates of these operators are studied.
Zhi-Peng Lin +3 more
wiley +1 more source
Approximation by Müntz spaces on positive intervals [PDF]
, 2013 International audienceThe so-called Bernstein operators were introduced by S.N. Bernstein in 1912 to give a constructive proof of Weierstrass' theorem.
Ait-Haddou, Rachid +1 more
core +4 more sources
Some approximation results on Bernstein-Schurer operators defined by (p,q)-integers (Revised) [PDF]
, 2015 In the present article, we have given a corrigendum to our paper "Some approximation results on Bernstein-Schurer operators defined by (p,q)-integers" published in Journal of In- equalities and Applications (2015) 2015:249.Comment: 11 pages, operator re ...
Mursaleen, M. +2 more
core +2 more sources
Approximation of Jakimovski-Leviatan-Beta type integral operators via q-calculus
AIMS Mathematics, 2020 We construct Jakimovski-Leviatan-Beta type q-integral operators and show that these positive linear operators are uniformly convergent to a continuous functions. We obtain the Korovkin type results, the rate of convergence as well as some direct theorems.
Abdullah Alotaibi, M. Mursaleen
doaj +1 more source
Convergence of Generalized Lupaş-Durrmeyer Operators
Mathematics, 2020 The main aim of this paper is to establish summation-integral type generalized Lupaş operators with weights of Beta basis functions which depends on μ having some properties.
Mohd Qasim +3 more
doaj +1 more source
Approximation by Generalized Lupaş Operators Based on q-Integers
Mathematics, 2020 The purpose of this paper is to introduce q-analogues of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing, and unbounded function ρ .
Mohd Qasim +3 more
doaj +1 more source
Korovkin-Type Results on Convergence of Sequences of Positive Linear Maps on Function Spaces [PDF]
, 2019 In this paper, we deal with the convergence of sequences of positive linear maps to a (not assumed to be linear) isometry on spaces of continuous functions.
Font, Juan J., Hosseini, Maliheh
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On -analogue of two parametric Stancu-Beta operators [PDF]
, 2007 Our purpose is to introduce a two-parametric ( p , q ) $(p, q)$ -analogue of the Stancu-Beta operators. We study approximating properties of these operators using the Korovkin approximation theorem and also study a direct theorem.
Abdizhahan M Sarsenbi +2 more
core +2 more sources