Results 21 to 30 of about 553 (125)

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

On Better Approximation of the Squared Bernstein Polynomials [PDF]

مجلة جامعة الانبار للعلوم الصرفة, 2022
The present paper is defined a new better approximation of the squared Bernstein polynomials. This better approximation has been built on a positive function  defined on the interval [0,1] which has some properties.
Rafah Katham, Ali Mohammad
doaj   +1 more source

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

Cumhuriyet 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, Gülten Torun, Meliha Mercan Boyraz   +2 more
doaj   +1 more source

Modified Bernstein–Durrmeyer Type Operators

Mathematics, 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

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

Mathematical 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, Noemi Broccatelli, Ilaria Mantellini, Marco Seracini   +3 more
wiley   +1 more source

Higher order Kantorovich-type Szász–Mirakjan operators

Journal 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, Mustafa Kara, Nazim I. Mahmudov   +2 more
doaj   +1 more source

APPROXIMATION BY JAIN-SCHURER OPERATORS [PDF]

, 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

On the convergence properties of sampling Durrmeyer‐type operators in Orlicz spaces

Mathematische Nachrichten, Volume 296, Issue 2, Page 588-609, February 2023., 2023
Abstract Here, we provide a unifying treatment of the convergence of a general form of sampling‐type operators, given by the so‐called sampling Durrmeyer‐type series. The main result consists of the study of a modular convergence theorem in the general setting of Orlicz spaces Lφ(R)$L^\varphi (\mathbb {R})$.
Danilo Costarelli, Michele Piconi, Gianluca Vinti   +2 more
wiley   +1 more source

Approximation Properties and q‐Statistical Convergence of Stancu‐Type Generalized Baskakov‐Szász Operators

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this article, we introduce Stancu‐type modification of generalized Baskakov‐Szász operators. We obtain recurrence relations to calculate moments for these new operators. We study several approximation properties and q‐statistical approximation for these operators.
Qing-Bo Cai, Adem Kilicman, Mohammad Ayman Mursaleen, Mikail Et   +3 more
wiley   +1 more source

Approximation Properties of a New Gamma Operator

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
This paper deals with a kind of modification of the classical Gamma operators defined on the semiaxis which holds fixed functions 1 and e−μx (μ > 0). We study the uniform approximation effect and the direct results. We also investigate the weighted A‐statistical convergence. Finally, the Voronovskaja type asymptotic formula is given.
Jieyu Huang, Qiulan Qi, Francisco J. Garcia Pacheco   +2 more
wiley   +1 more source