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KOROVKIN TYPE APPROXIMATION THEOREMS IN WEIGHTED SPACES VIA POWER SERIES

, 2018
In this paper we consider power series method which is also member of the class of all continuous summability methods. We study a Korovkin type approximation theorem for a sequence of positive linear operators acting from a weighted space C-p1 into a weighted space B-p2 with the use of the power series method which includes both Abel and Borel methods.
Tas, E, Yurdakadim, T, Atlihan, OG
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Approximation by a new sequence of operators involving Laguerre polynomials

This paper offers a newly created integral approach for operators employing the orthogonal modified Laguerre polynomials and P\u{a}lt\u{a}nea basis. These operators approximate the functions over the interval $[0,\infty)$.
Deo, Naokant, Kumar, Kapil, Verma, Durvesh Kumar   +2 more
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Some Weighted Equi-Statistical Convergence and Korovkin Type-Theorem

Results in Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naim L Braha
exaly   +3 more sources

Weighted statistical convergence and its application to Korovkin type approximation theorem

Applied Mathematics and Computation, 2012
A sequence \(x=(x_k)\) is said to be statistically convergent to \(L\), \(L=st-\lim x\), if and only if for all \(\varepsilon>0\) the set \(K_\varepsilon=\{k\in\mathbb N: |x_k-L|\geq\varepsilon\}\) has natural density zero. If \(p=(p_k)\) is a sequence of nonnegative integers, with \(p_0>0\) and \(P_n=\sum^n_0 p_k\to +\infty\) as \(n\to+\infty\), and ...
M Mursaleen, Vatan Karakaya, Muzeyyen Erturk   +2 more
exaly   +3 more sources

Some weighted statistical convergence and associated Korovkin and Voronovskaya type theorems

Journal of Applied Mathematics and Computing, 2020
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Naim L. Braha, Hari M. Srivastava, Mikail Et   +2 more
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Λ2-Weighted statistical convergence and Korovkin and Voronovskaya type theorems

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naim L. Braha, Valdete Loku, H. M. Srivastava 0001   +2 more
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Weighted (λ,μ)-statistical convergence and statistical summability methods of double sequences of fuzzy numbers with application to Korovkin-type fuzzy approximation theorem

Soft Computing, 2021
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Jyotishmaan Gogoi, Hemen Dutta
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Korovkin type approximation theorem via K_a−convergence on weighted spaces

Mathematical Methods in the Applied Sciences, 2018
In this paper, we study the Korovkin type approximation theorem for Ka‐ convergence, which is an interesting convergence method on weighted spaces. We also study the rate of Ka−convergence by using the weighted modulus of continuity and afterwards, we present a nontrivial application.
Sevda Yıldız, Fadime Dirik, Kamil Demirci   +2 more
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Weighted Equi-Statistical Convergence of the Korovkin Type Approximation Theorems

Results in Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A certain class of weighted statistical convergence and associated Korovkin‐type approximation theorems involving trigonometric functions

Mathematical Methods in the Applied Sciences, 2017
The subject of statistical convergence has attracted a remarkably large number of researchers due mainly to the fact that it is more general than the well‐established theory of the ordinary (classical) convergence. In the year 2013, Edely et al introduced and studied the notion of weighted statistical convergence.
H. M. Srivastava, Bidu Bhusan Jena, Susanta Kumar Paikray, U. K. Misra   +3 more
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