Results 41 to 50 of about 6,839,663 (111)

A study on blending-type approximation through α-Szász–Durrmeyer-type operators

Journal of Taibah University for Science
We propose a Durrmeyer-type extension of the [Formula: see text]-Szász-Mirakyan operators. By employing a unified approach based on the Lipschitz kind maximal function, weighted function spaces, and the Ditzian–Totik modulus of smoothness, we obtain ...
Priya Sehrawat, S. A. Mohiuddine, Arun Kajla, Yahya Almalki   +3 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
openaire   +3 more sources

Quantitative q-Voronovskaya and q-Gruss-Voronovskaya-type results for q-Szasz operators

, 2016
Acar, Tuncer/0000-0003-0982-9459In the present paper, we mainly study quantitative Voronovskaya-type theorems for q-Szasz operators defined in [19]. We consider weighted spaces of functions and the corresponding weighted modulus of continuity.
Acar, Tuncer
core   +1 more source

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   +1 more source

Voronovskaya-Type Theorems for Derivatives of the Bernstein-Chlodovsky Polynomials and the Szász-Mirakyan Operator [PDF]

, 2009
This paper is devoted to a study of a Voronovskaya-type theorem for the derivative of the Bernstein–Chlodovsky polynomials and to a comparison of its approximation effectiveness with the corresponding theorem for the much better-known Szász–Mirakyan ...
Butzer, Paul Leo, Karsli, Harun
core   +1 more source

Some remarks about the convergence of composition operators

Journal of Inequalities and Applications
This article presents a new sequence of positive linear operators that results from recent advancements in the area of composition operators. We introduce the moment-generating function and utilize it to compute moments of certain orders.
Meenu Rani, Monika Herzog, Brijesh Kumar Grewal   +2 more
doaj   +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 ...
openaire   +1 more source

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

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

Convergence Theorems for Derivatives of a New Baskakov -Type Operators

Wasit Journal for Pure Sciences
The motive of this paper is to introduce and investigate the derivatives of some Baskakov operators. Firstly, we treated with the convergence theorems on some certain type of Baskakov operators and then we found the derivative of these operators.
Haneen Jaafar, haneen jaafar
doaj   +1 more source