Results 11 to 20 of about 606,824 (183)

Approximation Properties of Generalized λ-Bernstein–Stancu-Type Operators

Journal of Mathematics, 2021
The present study introduces generalized λ-Bernstein–Stancu-type operators with shifted knots. A Korovkin-type approximation theorem is given, and the rate of convergence of these types of operators is obtained for Lipschitz-type functions.
Qing-Bo Cai, Gülten Torun, Ülkü Dinlemez Kantar   +2 more
doaj   +2 more sources

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
doaj   +4 more sources

A New Look on Korovkin Theorem

Mediterranean Journal of Mathematics
Giving a sequence P=(Pn)n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$
Ileana Bucur
semanticscholar   +3 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

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
doaj   +2 more sources

A noncommutative Korovkin theorem

Journal of Approximation Theory, 1976
W. Priestley
semanticscholar   +2 more sources

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
openaire   +3 more sources

A Nonlinear Extension of Korovkin’s Theorem [PDF]

Mediterranean Journal of Mathematics, 2020
12 ...
Sorin G. Gal, Constantin P. Niculescu
openaire   +2 more sources

A Korovkin Theorem for Abstract Lebesgue Spaces

Journal of Approximation Theory, 2000
Let \(E\) be an AL-space (a Kakutani abstract L-space) with a generalized weak unit \(\{e_n\}\). The theorem proved here is a little stronger then the following. Theorem: Let \(\{T_i\}\) be a sequence of norm one operators defined on \(E\). Let \(L=\{ f\in E: T_if\) converges weakly to \(f\}\), and \(N=\{f\in E: T_if\) converges in norm to \(f\}\). If,
P. Renaud
semanticscholar   +3 more sources

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 Ergur, Oktay Duman
openaire   +5 more sources