Results 51 to 60 of about 137 (101)

Approximation by q‐Post‐Widder Operators Based on a New Parameter

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
The purpose of this paper is to introduce q‐Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated. And some local approximation properties of these operators by means of modulus of continuity and Peetre’s K‐functional are presented.
Qiu Lin, Rosanna Manzo
wiley   +1 more source

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

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
Mohiuddine, S. A., Hazarika, Bipan, Alghamdi, Mohammed A.   +2 more
openaire   +3 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

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

Approximation by bivariate Bernstein–Kantorovich–Stancu operators that reproduce exponential functions

Journal of Inequalities and Applications
In this study, we construct a Stancu-type generalization of bivariate Bernstein–Kantorovich operators that reproduce exponential functions. Then, we investigate some approximation results for these operators.
Lian-Ta Su, Kadir Kanat, Melek Sofyalioğlu Aksoy, Merve Kisakol   +3 more
doaj   +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

Approximation by Generalized Lupaş Operators Based on q-Integers

Mathematics, 2020
The purpose of this paper is to introduce q-analogues of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing, and unbounded function ρ .
Mohd Qasim, M. Mursaleen, Asif Khan, Zaheer Abbas   +3 more
doaj   +1 more source

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  

Approximation Properties Variant of Baskakov–Schurer–Szász Operators Induced by Sheffer Polynomials

Mathematics
This paper introduces a new class of Baskakov–Schurer–Szász operators generated by Sheffer polynomials in a special case. We establish a Korovkin-type theorem for these operators and investigate their uniform convergence and error estimates using the ...
Naim L. Braha, Toufik Mansour
doaj   +1 more source