Results 51 to 60 of about 156 (109)

Better Approximation Properties by New Modified Baskakov Operators

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
This paper introduces a new idea to obtain a better order of approximation for the Baskakov operator. We conclude two new operators from orders one and two of the Baskakov type. Also, we prove some directed results concerning the rate of convergence of these operators.
Ahmed F. Jabbar, Amal K. Hassan, Mehmet Ünver   +2 more
wiley   +1 more source

Approximation properties of generalized Baskakov–Schurer–Szasz–Stancu operators preserving e−2ax,a>0 $e^{-2ax}, a>0$

Journal of Inequalities and Applications, 2019
The current paper deals with a modified form of the Baskakov–Schurer–Szasz–Stancu operators which preserve e−2ax $e^{-2ax}$ for a>0 $a>0$. The uniform convergence of the modified operators is shown.
Melek Sofyalıoğlu, Kadir Kanat
doaj   +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 Urysohn type nonlinear Bernstein operators

Mathematical Methods in the Applied Sciences, 2018
The concern of this paper is to continue the investigation of convergence properties of nonlinear approximation operators, which are defined by Karsli. In details, the paper centers around Urysohn‐type nonlinear counterpart of the Bernstein operators.
openaire   +2 more sources

On the Generalized Baskakov Durrmeyer Operators

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
The main object of this paper is to construct Baskakov Durrmeyer type operators such that their construction depends on a function ρ. Using the weighted modulus of continuity, we show the uniform convergence of the operators. Moreover we obtain pointwise
Gülsüm Ulusoy
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

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

Approximation properties of certain modified Szasz-Mirakyan operators

Le Matematiche, 2000
We introduce certain modified Szasz - Mirakyan operators in exponential weighted spaces of functions of one variable. We give theorems on the degree of approximation and the Voronovskaya type theorem.
Lucyna Rempulska, Zbigniew Walczak
doaj  

Geometric series of positive linear operators and the inverse Voronovskaya theorem on a compact interval

Journal of Approximation Theory, 2014
In this paper, the authors have considered geometric series related to a large class of positive linear operators acting on a space of functions on the interval \([0, 1]\) and studied the convergence of the series in the case of sequences of admissible operators.
Ulrich Abel, Mircea Ivan, Radu Paltanea
openaire   +1 more source

A Fubini polynomial-based generalization of Szász-Baskakov operators

Mathematical and Computer Modelling of Dynamical Systems
This work contains a generalization of the Szász-Baskakov operators with the help of Fubini polynomials. Firstly, we get the rate of convergence of our new operators and then we find some approximation results.
Melek Sofyalıoğlu Aksoy, Verda Karadaş   +1 more
doaj   +1 more source