Results 31 to 40 of about 137 (101)

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   +3 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.
Purshottam Narain AGRAWAL, Behar BAXHAKU, Ruchi CHAUHAN   +2 more
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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.
Parveen Bawa, Neha Bhardwaj, P. N. Agrawal   +2 more
openaire   +3 more sources

On the rate of convergence of modified \(\alpha\)-Bernstein operators based on q-integers

Journal of Numerical Analysis and Approximation Theory, 2022
In the present paper we define a q-analogue of the modified a-Bernstein operators introduced by Kajla and Acar (Ann. Funct. Anal. 10 (4) 2019, 570-582). We study uniform convergence theorem and the Voronovskaja type asymptotic theorem.
Purshottam Agrawal, Dharmendra Kumar, Behar Baxhaku   +2 more
doaj   +1 more source

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
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On ( p , q ) $(p,q)$ -analogue of two parametric Stancu-Beta operators

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   +1 more source

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
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On Sequences of J. P. King‐Type Operators

Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019
This survey is devoted to a series of investigations developed in the last fifteen years, starting from the introduction of a sequence of positive linear operators which modify the classical Bernstein operators in order to reproduce constant functions and x2 on [0,1]. Nowadays, these operators are known as King operators, in honor of J. P.
Tuncer Acar, Mirella Cappelletti Montano, Pedro Garrancho, Vita Leonessa, Guozhen Lu   +4 more
wiley   +1 more source

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 ...
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Weighted Statistical Equivalence in Probability for Comparing Positive Linear Approximation Processes

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We introduce the notion of asymptotically weighted statistical equivalence of order α in probability for sequences of positive linear operators and study it within a Korovkin‐type approximation framework. The emphasis is not only on the convergence of a single operator sequence to a target function, but on the asymptotic comparison of two approximation
Hong-Wei Wang, Mehmet Gürdal, Ömer Kişi, Qing-Bo Cai, Smritijit Sen   +4 more
wiley   +1 more source