Results 1 to 10 of about 6,839,663 (111)

Quantitative-Voronovskaya and Grüss-Voronovskaya type theorems for Szász-Durrmeyer type operators blended with multiple Appell polynomials [PDF]

Journal of Inequalities and Applications, 2017
In this paper, we establish a link between the Szász-Durrmeyer type operators and multiple Appell polynomials. We study a quantitative-Voronovskaya type theorem in terms of weighted modulus of smoothness using sixth order central moment and Grüss ...
P N Agrawal
exaly   +8 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   +3 more sources

A Voronovskaya-type theorem for the second derivative of the Bernstein–Chlodovsky polynomials; pp. 9–19 [PDF]

Proceedings of the Estonian Academy of Sciences, 2012
This paper is devoted to a Voronovskaya-type theorem for the second derivative of the Bernstein–Chlodovsky polynomials. This type of theorem was considered for the Bernstein–Chlodovsky polynomials by Jerzy Albrycht and Jerzy Radecki in 1960 and by ...
Harun Karsli
doaj   +2 more sources

POINTS OF RETRACTION INTO CONE AND VORONOVSKAYA TYPE THEOREMS

Transactions 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 ...
Yury Abakumov, Victor Banin
doaj   +3 more sources

Voronovskaya Type Theorems in Weighted Spaces

Numerical Functional Analysis and Optimization, 2016
In this article, we introduce a generalization of Gamma operators based on a function ρ having some properties and prove quantitative Voronovskaya and quantitative Gruss type Voronovskaya theorems ...
Aysegul Erençin, Ioan Rasa
exaly   +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.
Neha Bhardwaj, P N Agrawal
exaly   +5 more sources

Quantitative Voronovskaya- and Grüss–Voronovskaya-type theorems by the blending variant of Szász operators including Brenke-type polynomials

Turkish Journal of Mathematics, 2018
Summary: The present paper aims to investigate a class of linear positive operators by combining Szász-Jain operators and Brenke polynomials and studies their approximation properties. We also prove quantitative Voronovskaya-type results and establish Grüss-Voronovskaja-type theorem.
Béhar Baxhaku, P N Agrawal
exaly   +3 more sources

Ideal relatively uniform convergence with Korovkin and Voronovskaya types approximation theorems

Filomat, 2019
We introduce the notion of ideally relative uniform convergence of sequences of real valued functions. We then apply this notion to prove Korovkin-type approximation theorem, and then construct an illustrative example by taking (p,q)-Bernstein operators which proves that our Korovkin theorem is stronger than its classical version as well as
Bipan Hazarika, S A Mohiuddine, Mohammed I Alghamdi   +2 more
exaly   +4 more sources

Asymptotic properties of Urysohn type generalized sampling operators

Karpatsʹkì Matematičnì Publìkacìï, 2021
The concern of this study is to continue the investigation of convergence properties of Urysohn type generalized sampling operators, which are defined by the author in [Dolomites Res. Notes Approx. 2021, 14 (2), 58-67].
H. Karsli
doaj   +1 more source

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   +1 more source