Results 11 to 20 of about 7,339,945 (133)

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   +3 more sources

Genuine modified Bernstein–Durrmeyer operators [PDF]

Journal of Inequalities and Applications, 2018
The present paper deals with genuine Bernstein–Durrmeyer operators which preserve some certain functions. The rate of convergence of new operators via a Peetre K $\mathcal{K}$-functional and corresponding modulus of smoothness, quantitative Voronovskaya ...
Syed Abdul Mohiuddine, Tuncer Acar, Mohammed A. Alghamdi   +2 more
doaj   +3 more sources

On ( p , q ) $(p,q)$ -Szász-Mirakyan operators and their approximation properties [PDF]

Journal of Inequalities and Applications, 2017
In the present paper, we introduce a new modification of Szász-Mirakyan operators based on ( p , q ) $(p, q)$ -integers and investigate their approximation properties. We obtain weighted approximation and Voronovskaya-type theorem for new operators.
M Mursaleen, AAH Al-Abied, Abdullah Alotaibi   +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

Statistical Korovkin and Voronovskaya type theorem for the Cesaro second-order operator of fuzzy numbers [PDF]

Studia Universitatis Babes-Bolyai Matematica, 2020
In this paper we define the Ces\'aro second-order summability method for fuzzy numbers and prove Korovkin type theorem, then as the application of it, we prove the rate of convergence. In the last section, we prove the kind of Voronovskaya type theorem and give some concluding remarks related to the obtained results.
Naim L. Braha, Valdete Loku
openaire   +2 more sources

q‐Voronovskaya type theorems for q‐Baskakov operators

Mathematical Methods in the Applied Sciences, 2015
In the present paper, we prove quantitative q‐Voronovskaya type theorems for q‐Baskakov operators in terms of weighted modulus of continuity. We also present a new form of Voronovskaya theorem, that is, q‐Grüss‐Voronovskaya type theorem for q‐Baskakov operators in quantitative mean.
Ulusoy, Gulsum, Acar, Tuncer
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

Direct Estimate for Some Operators of Durrmeyer Type in Exponential Weighted Space

Demonstratio Mathematica, 2014
In the present paper, we investigate the convergence and the approximation order of some Durrmeyer type operators in exponential weighted space. Furthermore, we obtain the Voronovskaya type theorem for these operators.
Krech Grażyna, Wachnicki Eugeniusz
doaj   +2 more sources

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   +2 more sources

Approximation Properties of the Blending-Type Bernstein–Durrmeyer Operators

Axioms, 2022
We construct the blending-type modified Bernstein–Durrmeyer operators and investigate their approximation properties. First, we derive the Voronovskaya-type asymptotic theorem for this type of operator.
Yu-Jie Liu, Wen-Tao Cheng, Wen-Hui Zhang, Pei-Xin Ye   +3 more
doaj   +2 more sources