Results 1 to 10 of about 1,372 (158)
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
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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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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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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 +2 more
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Korovkin Second Theorem via -Statistical -Summability [PDF]
Abstract and Applied Analysis, 2013 Korovkin type approximation theorems are useful tools to check whether a given sequence of positive linear operators on of all continuous functions on the real interval is an approximation process.
M. Mursaleen, A. Kiliçman
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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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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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Weighted A-Statistical Convergence for Sequences of Positive Linear Operators [PDF]
The Scientific World Journal, 2014 We introduce the notion of weighted A-statistical convergence of a sequence, where A represents the nonnegative regular matrix. We also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence. Further, we give a
S. A. Mohiuddine +2 more
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Nonlinear versions of Korovkin’s abstract theorems [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022 17 ...
Sorin G. Gal, Constantin P. Niculescu
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A Nonlinear Extension of Korovkin’s Theorem [PDF]
Mediterranean Journal of Mathematics, 2020 12 ...
Sorin G. Gal, Constantin P. Niculescu
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