Results 11 to 20 of about 1,372 (158)

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

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

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

Nonlinear operator extensions of Korovkin's theorems

Positivity, 2023
Abstract In this paper we extend Korovkin's theorem to the context of sequences of weakly nonlinear and monotone operators defined on certain Banach function spaces. Several examples illustrating the theory are included. Date: August 29, 2023. 2000 Mathematics Subject Classification. 41A35, 41A36, 41A63.
Gal, Sorin G., Niculescu, Constantin P.
openaire   +3 more sources

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
doaj   +1 more source

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

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, Mustafa Kara, Nazim I. Mahmudov   +2 more
doaj   +1 more source

Periodic Korovkin Theorem via $P_{p}^{2}$-Statistical $\mathcal{A}$-Summation Process

Universal Journal of Mathematics and Applications, 2022
In the current research, we investigate and establish Korovkin-type approximation theorems for linear operators defined on the space of all $% 2\pi $-periodic and real valued continuous functions on $% %TCIMACRO{\U{211d} }% %BeginExpansion \mathbb{R ...
Kamil Demirci, Fadime Dirik, Sevda Yıldız   +2 more
doaj   +1 more source

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, Nazim Mahmudov, Gizem Dagbasi   +2 more
doaj   +1 more source

On a Family of Parameter‐Based Bernstein Type Operators with Shape‐Preserving Properties

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
This article aims to introduce a new linear positive operator with a parameter. Our focus lies in analyzing the distinct characteristics and inherent properties exhibited by this operator. Additionally, we provide a proof of the convergence rate and present a revised version of the Voronovskaja theorem specifically tailored for this newly defined ...
Bahareh Nouri, Jamshid Saeidian, Firdous A. Shah   +2 more
wiley   +1 more source