Results 11 to 20 of about 474 (129)

A Kantorovich-Stancu Type Generalization of Szasz Operators including Brenke Type Polynomials [PDF]

Journal of Function Spaces and Applications, 2013
We introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators defined by means of the Brenke type polynomials and obtain approximation properties of these operators.
Rabia Aktaş, Bayram Çekim, Fatma Taşdelen   +2 more
doaj   +3 more sources

Approximation by One and Two Variables of the Bernstein-Schurer-Type Operators and Associated GBS Operators on Symmetrical Mobile Interval

Journal of Function Spaces, 2021
In this article, we purpose to study some approximation properties of the one and two variables of the Bernstein-Schurer-type operators and associated GBS (Generalized Boolean Sum) operators on a symmetrical mobile interval.
Reşat Aslan, Aydın İzgi
doaj   +2 more sources

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, Abdizhahan M Sarsenbi, Taqseer Khan   +2 more
doaj   +4 more sources

Some Properties of Kantorovich-Stancu-Type Generalization of Szász Operators including Brenke-Type Polynomials via Power Series Summability Method

Journal of Function Spaces, 2020
In this paper, we study the Kantorovich-Stancu-type generalization of Szász-Mirakyan operators including Brenke-type polynomials and prove a Korovkin-type theorem via the T-statistical convergence and power series summability method.
Naim Latif Braha, Toufik Mansour, Mohammad Mursaleen   +2 more
doaj   +2 more sources

VORONOVSKAYA-TYPE THEOREM FOR POSITIVE LINEAR OPERATORS BASED ON LAGRANGE INTERPOLATION

Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application, 2023
Since the classical asymptotic theorems of Voronovskaya-type for positive and linear operators are in fact based on the Taylor’s formula which is a very particular case of Lagrange-Hermite interpolation for­mula, in the recent paper Gal [3], I have obtained semi-discrete quanti­tative Voronovskaya-type theorems based on other Lagrange-Hermite ...
S. G. Galt
openaire   +2 more sources

Quantitative Voronovskaya type theorems for a general sequence of linear positive operators

Filomat, 2019
The present paper deal with the obtaining quantitative form of the results presented Butzer & Karsli [1]. That is, we prove quantitative simultaneous results by general sequence of positive linear operators which are valid for unbounded functions with polynomial growth.
Aral, Ali, Tachev, Gancho
openaire   +2 more sources

Quantitative Voronovskaya type theorems and GBS operators of Kantorovich variant of Lupaş-Stancu operators based on Pólya distribution

Mathematical Foundations of Computing, 2022
<p style='text-indent:20px;'>The motivation behind the current paper is to elucidate the approximation properties of a Kantorovich variant of Lupaş-Stancu operators based on Pólya distribution. We construct quantitative-Voronovskaya and Grüss-Voronovskaya type theorems and determine the convergence estimates of the above operators.
Bawa, Parveen, Bhardwaj, Neha, Agrawal, P. N.   +2 more
openaire   +4 more sources

POINTS OF RETRACTION INTO CONE AND VORONOVSKAYA TYPE THEOREMS

Proceedings of the Karelian Research Centre of the Russian Academy of Sciences, 2015
The general approach to Voronovskaya theorems about the rate of convergence of linear operators sequence to the functions of some classes is considered. These theorems are proved with the help of a functional which in many concrete situations may have a differential structure.
Yury Abakumov, Victor Banin
openaire   +4 more sources

Approximation Properties of a New Type of Gamma Operator Defined with the Help of k-Gamma Function

Journal of Function Spaces, 2022
With the help of the k-Gamma function, a new form of Gamma operator is given in this article. Voronovskaya type theorem, weighted approximation, rates of convergence, and pointwise estimates have been found for approximation features of the newly ...
Gurhan Icoz, Seda Demir
doaj   +2 more sources

Strong Converse Inequalities and Qantitative Voronovskaya-Type Theorems for Trigonometric Fej\'er Sums

Constructive Mathematical Analysis, 2020
Let $\sigma_n$ denotes the classical Fej\'er operator for trigonometric expansions. For a fixed even integer $r$, we characterize the rate of convergence of the iterative operators $(I-\sigma_n)^r(f)$ in terms of the modulus of continuity of order $r$ (with specific constants) in all $\mathbb{L}^p$ spaces $1\leq p \leq \infty$.
Jorge Bustamante, Lázaro Flores De Jesús   +1 more
openaire   +4 more sources