Results 11 to 20 of about 1,445 (159)

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
doaj   +2 more sources

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
doaj   +2 more sources

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   +2 more sources

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
doaj   +3 more sources

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
doaj   +2 more sources

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, Abdullah Alotaibi, Bipan Hazarika   +2 more
doaj   +2 more sources

A Korovkin Type Approximation Theorem and Its Applications [PDF]

Abstract and Applied Analysis, 2014
We present a Korovkin type approximation theorem for a sequence of positive linear operators defined on the space of all real valued continuous and periodic functions via A-statistical approximation, for the rate of the third order Ditzian-Totik modulus ...
Malik Saad Al-Muhja
doaj   +3 more sources

Some Approximation Properties of the p,q–Stancu–Schurer–Bleimann–Butzer–Hahn Operators

Journal of Mathematics
In this article, the p,q–Stancu–Schurer–Bleimann–Butzer–Hahn (p,q-SSBBH) operators are introduced. The Korovkin-type theorem is obtained to show the approximation properties of these operators.
Gülten Torun
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Generalization of Statistical Korovkin Theorems [PDF]

Journal of Applied Mathematics, 2013
We generalize and develop the Korovkin-type approximation theory by using an appropriate abstract space. We show that our approximation is more applicable than the classical one. At the end, we display some applications.
Alperen Ali Ergür, Oktay Duman
openaire   +5 more sources

Abstract Korovkin type theorems on modular spaces by $\mathscr{A}$-summability [PDF]

Mathematica Bohemica, 2018
Our aim is to change classical test functions of Korovkin theorem on modular spaces by using $\mathscr{A}$-summability.
Emre Taş
doaj   +1 more source