Results 71 to 80 of about 1,148 (144)

Statistically and Relatively Modular Deferred-Weighted Summability and Korovkin-Type Approximation Theorems [PDF]

Symmetry, 2019
The concept of statistically deferred-weighted summability was recently studied by Srivastava et al. (Math. Methods Appl. Sci. 41 (2018), 671–683). The present work is concerned with the deferred-weighted summability mean in various aspects defined over a modular space associated with a generalized double sequence of functions.
Hari Mohan Srivastava, Bidu Bhusan Jena, Susanta Kumar Paikray, Umakanta Misra   +3 more
openaire   +2 more sources

Approximation Theorem for New Modification of q-Bernstein Operators on (0,1)

Journal of Function Spaces, 2021
In this work, we extend the works of F. Usta and construct new modified q-Bernstein operators using the second central moment of the q-Bernstein operators defined by G. M. Phillips.
Yun-Shun Wu, Wen-Tao Cheng, Feng-Lin Chen, Yong-Hui Zhou   +3 more
doaj   +1 more source

Equi-Statistical Extension of the Korovkin Type Approximation Theorem

Turkish Journal of Mathematics, 2009
In this paper using equi-statistical convergence, which is stronger than the usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem. Then, we construct examples such that our new approximation result works but its classical and statistical cases do not work.
Karakuş, Sevda, Demirci, Kamil
openaire   +2 more sources

Statistical Approximation for Periodic Functions of Two Variables

Journal of Function Spaces and Applications, 2013
We prove a Korovkin type approximation theorem for a function of two variables by using the notion of statistical summability (C,1,1). We also study the rate of statistical summability (C,1,1) of positive linear operators. Finally we construct an example
Abdullah Alotaibi, M. Mursaleen, S. A. Mohiuddine   +2 more
doaj   +1 more source

Korovkin-type Theorems via Statistical Derivatives of Deferred Nörlund Summability [PDF]

Sahand Communications in Mathematical Analysis
This paper introduces and explores the concept of statistical derivatives within the framework of deferred N\"{o}rlund summability, complemented by illustrative examples.
Suresh Chandra Mahapatra, Bidu Jena, Susanta Kumar Paikray, M. Mursaleen   +3 more
doaj   +1 more source

Kantrovich Type Generalization of Meyer-Konig and Zeller Operators via Generating Functions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In the present paper, we study a Kantorovich type generalization of Meyer-König and Zeller type operators via generating functions. Using Korovkin type theorem we first give approximation properties of these operators defined on the space C [0;A] ; 0 < A
Olgun Ali, İnce H. Gül, Tasdelen Fatma
doaj   +1 more source

Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence

Journal of Mathematical Sciences and Modelling, 2019
In this paper, we introduce the concepts of αβ−statistical convergence and strong αβ− summability of double sequences and investigate the relation between these two new concepts. Moreover, statistical convergence and αβ− statistical convergence of double
Selma Altundağ, Bayram Sözbir
doaj   +1 more source

Korovkin-type Theorems and Approximation by Positive Linear Operators

, 2010
This survey paper contains a detailed self-contained introduction to Korovkin-type theorems and to some of their applications concerning the approximation of continuous functions as well as of L^p-functions, by means of positive linear operators. The paper also contains several new results and applications.
openaire   +3 more sources

Approximation by bivariate Bernstein–Kantorovich–Stancu operators that reproduce exponential functions

Journal of Inequalities and Applications
In this study, we construct a Stancu-type generalization of bivariate Bernstein–Kantorovich operators that reproduce exponential functions. Then, we investigate some approximation results for these operators.
Lian-Ta Su, Kadir Kanat, Melek Sofyalioğlu Aksoy, Merve Kisakol   +3 more
doaj   +1 more source