Results 21 to 30 of about 639 (129)
Statistical approximation properties of λ-Bernstein operators based on q-integers
Open Mathematics, 2019 In this paper, we introduce a new generalization of λ-Bernstein operators based on q-integers, we obtain the moments and central moments of these operators, establish a statistical approximation theorem and give an example to show the convergence of ...
Cai Qing-Bo, Zhou Guorong, Li Junjie
doaj +1 more source
A method of summability of Lagrange interpolation
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 1, Page 19-25, 1994., 1992 The author uses in this paper a technique from numerical integration (see [9]) to get a discretely defined operator, which is a modification of the Lagrange operator. Therefore we improve with the linear summation method a result presented in [12] and we also point out a solution for a problem of P.L.Butzer in the proceedings of the Budapest conference
Detlef H. Mache
wiley +1 more source
A discrete Stochastic Korovkin theorem
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 679-682, 1991., 1989 In this article we give a sufficient condition for the pointwise −− in the first mean Korovkin property on B0(P), the space of stochastic processes with real state space and countable index set Γ and bounded first moments.
George A. Anastassiou
wiley +1 more source
q-generalized Bernstein-Durrmeyer polynomials
, 2020 The purpose of the present paper is to introduce a q -Durrmeyer variant of generalizedBernstein operators proposed by Chen et al. (2017). The convergence rate of these operators is examined by means of the Lipschitz class and the Peetre’s K-functional ...
P. Agrawal, A. Acu, R. Ruchi
semanticscholar +1 more source
Korovkin second theorem via statistical summability (C,1)
, 2013 Korovkin type approximation theorems are useful tools to check whether a given sequence (Ln)n≥1 of positive linear operators on C[0,1] of all continuous functions on the real interval [0,1] is an approximation process.
S. A. Mohiuddine, A. Alotaibi
semanticscholar +1 more source
On the order of approximation by modified summation-integral-type operators based on two parameters
Demonstratio Mathematica, 2023 In this article, we the study generalized family of positive linear operators based on two parameters, which are a broad family of many well-known linear positive operators, e.g., Baskakov-Durrmeyer, Baskakov-Szász, Szász-Beta, Lupaş-Beta, Lupaş-Szász ...
Mohiuddine Syed Abdul +2 more
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A Dunkl Analogue of Operators Including Two-variable Hermite polynomials
, 2017 The aim of this paper is to introduce a Dunkl generalization of the operators including two variable Hermite polynomials which are defined by Krech [14](Krech, G.
Aktaş, Rabia +2 more
core +1 more source
q-Bernstein-Schurer-Kantorovich Operators
, 2013 In the present paper, we introduce the q-Bernstein-Schurer-Kantorovich operators. We give the Korovkin-type approximation theorem and obtain the rate of convergence of this approximation by means of the first and the second modulus of continuity ...
Mehmet Ali Özarslan, Tuba Vedi
semanticscholar +1 more source
Bernstein-type operators on elliptic domain and their interpolation properties
Demonstratio Mathematica, 2023 The aim of this article is to construct univariate Bernstein-type operators (ℬmxG)(x,z)\left({{\mathcal{ {\mathcal B} }}}_{m}^{x}G)\left(x,z) and (ℬnzG)(x,z),\left({{\mathcal{ {\mathcal B} }}}_{n}^{z}G)\left(x,z), their products (PmnG)(x,z)\left ...
Iliyas Mohammad +2 more
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Korovkin type approximation theorem for functions of two variables through statistical A-summability
, 2012 In this article, we prove a Korovkin type approximation theorem for a function of two variables by using the notion of statistical A-summability. We also study the rate of statistical A-summability of positive linear operators.
M. Mursaleen, A. Alotaibi
semanticscholar +1 more source