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A discrete Stochastic Korovkin theorem [PDF]

International Journal of Mathematics and Mathematical Sciences, 1991
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
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Fibonacci statistical convergence and Korovkin type approximation theorems [PDF]

Journal of Inequalities and Applications, 2017
The purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined.
Murat Kirişci, Ali Karaisa
doaj   +6 more sources

Application of f-lacunary statistical convergence to approximation theorems [PDF]

Journal of Inequalities and Applications, 2018
The concept of f-lacunary statistical convergence which is, in fact, a generalization of lacunary statistical convergence, has been introduced recently by Bhardwaj and Dhawan (Abstr. Appl. Anal. 2016:9365037, 2016).
Vinod K Bhardwaj, Shweta Dhawan
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Periodic Korovkin Theorem via $P_{p}^{2}$-Statistical $\mathcal{A}$-Summation Process

Universal Journal of Mathematics and Applications, 2022
In the current research, we investigate and establish Korovkin-type approximation theorems for linear operators defined on the space of all $% 2\pi $-periodic and real valued continuous functions on $% %TCIMACRO{\U{211d} }% %BeginExpansion \mathbb{R ...
Kamil Demirci, Fadime Dirik, Sevda Yıldız   +2 more
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On modified Dunkl generalization of Szász operators via q-calculus [PDF]

Journal of Inequalities and Applications, 2017
The purpose of this paper is to introduce a modification of q-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval [ 1 2 , ∞ ) $[\frac{1}{2},\infty)$ than the classical ones.
M Mursaleen, Md Nasiruzzaman, Abdullah Alotaibi   +2 more
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Approximation properties of λ-Bernstein operators [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we introduce a new type λ-Bernstein operators with parameter λ∈[−1,1] $\lambda\in[-1,1]$, we investigate a Korovkin type approximation theorem, establish a local approximation theorem, give a convergence theorem for the Lipschitz ...
Qing-Bo Cai, Bo-Yong Lian, Guorong Zhou
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A Korovkin theorem in multivariate modular function spaces

Journal of Function Spaces and Applications, 2009
In this paper a modular version of the classical Korovkin theorem in multivariate modular function spaces is obtained and applications to some multivariate discrete and integral operators, acting in Orlicz spaces, are given.
Carlo Bardaro, Ilaria Mantellini
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Multivariate trigonometric Korovkin theorem within a fuzzy framework [PDF]

Mathematica Moravica
In this paper, the trigonometric fuzzy Korovkin theorem, originally established by G. A. Anastassiou and S. G. Gal (Nonlinear Functional Analysis and Applications, 11 (2006), 385-395), is extended to the k-dimensional setting. The proof is based on a new
Taş Emre, Ekici Selma
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KOROVKIN THEOREM VIA STATISTICAL e-MODULAR CONVERGENCE OF DOUBLE SEQUENCES

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
In the present paper, we obtain an abstract version of the Korovkin type theorem via the concept of statistical e-convergence in modular spaces for double sequences of positive linear operators.
Sevda Yıldız
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Korovkin-Type Theorems in Weighted Lp-Spaces via Summation Process [PDF]

The Scientific World Journal, 2013
Korovkin-type theorem which is one of the fundamental methods in approximation theory to describe uniform convergence of any sequence of positive linear operators is discussed on weighted Lp spaces, 1 ...
Tuncer Acar, Fadime Dirik
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