Results 1 to 10 of about 1,079 (92)
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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On ( p , q ) $(p,q)$ -analogue of two parametric Stancu-Beta operators [PDF]
Journal of Inequalities and Applications, 2016 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.
Mohammad Mursaleen +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 +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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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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Statistical deferred weighted B $\mathcal{B}$-summability and its applications to associated approximation theorems [PDF]
Journal of Inequalities and Applications, 2018 The notion of statistical weighted B $\mathcal{B}$-summability was introduced very recently (Kadak et al. in Appl. Math. Comput. 302:80–96, 2017).
T. Pradhan +3 more
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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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Approximation properties of modified Jain-Gamma operators
Karpatsʹkì Matematičnì Publìkacìï, 2021 In the present paper, we study some approximation properties of a modified Jain-Gamma operator. Using Korovkin type theorem, we first give approximation properties of such operator.
S. Erdogan, A. Olgun
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Higher order Kantorovich-type Szász–Mirakjan operators
Journal of Inequalities and Applications, 2022 In this paper, we define new higher order Kantorovich-type Szász–Mirakjan operators, we give some approximation properties of these operators in terms of various moduli of continuity. We prove a local approximation theorem, a Korovkin-type theorem, and a
Pembe Sabancigil +2 more
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A new type of Szász–Mirakjan operators based on q-integers
Journal of Inequalities and Applications, 2023 In this article, by using the notion of quantum calculus, we define a new type Szász–Mirakjan operators based on the q-integers. We derive a recurrence formula and calculate the moments Φ n , q ( t m ; x ) $\Phi _{n,q}(t^{m};x)$ for m = 0 , 1 , 2 $m=0,1 ...
Pembe Sabancigil +2 more
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