Results 11 to 20 of about 495 (122)

Some Approximation Properties of the p,q–Stancu–Schurer–Bleimann–Butzer–Hahn Operators

open access: yesJournal of Mathematics
In this article, the p,q–Stancu–Schurer–Bleimann–Butzer–Hahn (p,q-SSBBH) operators are introduced. The Korovkin-type theorem is obtained to show the approximation properties of these operators.
Gülten Torun
doaj   +2 more sources

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

open access: yesAbstract and Applied Analysis
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.
Qiu Lin
doaj   +2 more sources

Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators

open access: yesJournal of Numerical Analysis and Approximation Theory, 2021
In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic ...
Vijay Gupta, Michael Th. Rassias
doaj   +7 more sources

Investigation of the Asymptotic Behavior of Generalized Baskakov-Durrmeyer-Stancu Type Operators

open access: yesCumhuriyet Science Journal, 2022
In this manuscript, we firstly find the Korovkin test functions for the Baskakov operators, secondly, we find the generalized Baskakov-Durrmeyer-Stancu type operators.
Ülkü Dinlemez Kantar   +2 more
doaj   +1 more source

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

open access: yesJournal 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   +2 more
doaj   +1 more source

Modified Bernstein–Durrmeyer Type Operators

open access: yesMathematics, 2022
We constructed a summation–integral type operator based on the latest research in the linear positive operators area. We establish some approximation properties for this new operator.
Arun Kajla, Dan Miclǎuş
doaj   +1 more source

Higher order Kantorovich-type Szász–Mirakjan operators

open access: yesJournal of Inequalities and Applications, 2022
In this paper, we define new higher order Kantorovich-type Szász–Mirakjan operators, we give some approximation properties of these operators in terms of various moduli of continuity. We prove a local approximation theorem, a Korovkin-type theorem, and a
Pembe Sabancigil   +2 more
doaj   +1 more source

Semi‐discrete operators in multivariate setting: Convergence properties and applications

open access: yesMathematical Methods in the Applied Sciences, Volume 46, Issue 9, Page 11058-11079, June 2023., 2023
In this paper, we study the convergence properties of certain semi‐discrete exponential‐type sampling series in a multidimensional frame. In particular, we obtain an asymptotic formula of Voronovskaya type, which gives a precise order of approximation in the space of continuous functions, and we give some particular example illustrating the theory ...
Carlo Bardaro   +3 more
wiley   +1 more source

APPROXIMATION BY JAIN-SCHURER OPERATORS [PDF]

open access: yes, 2021
In this paper we deal with Jain-Schurer operators. We give an estimate, related to the degree of approximation, via K-functional. Also, we present a Voronovskaja-type result.
Başcanbaz-Tunca, Gülen, Çetin, Nursel
core   +1 more source

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