Results 11 to 20 of about 533 (141)

Approximation Properties of λ-Gamma Operators Based on q-Integers

Journal of Function Spaces, 2020
In the present paper, we will introduce λ-Gamma operators based on q-integers. First, the auxiliary results about the moments are presented, and the central moments of these operators are also estimated.
Wen-Tao Cheng, Xiao-Jun Tang
doaj   +2 more sources

Approximation Properties of Generalized λ-Bernstein–Stancu-Type Operators

Journal of Mathematics, 2021
The present study introduces generalized λ-Bernstein–Stancu-type operators with shifted knots. A Korovkin-type approximation theorem is given, and the rate of convergence of these types of operators is obtained for Lipschitz-type functions.
Qing-Bo Cai, Gülten Torun, Ülkü Dinlemez Kantar   +2 more
doaj   +2 more sources

Multivariate Neural Network Operators: Simultaneous Approximation and Voronovskaja‐Type Theorem

Mathematical Methods in the Applied Sciences
ABSTRACTIn this paper, the simultaneous approximation and a Voronoskaja‐type theorem for the multivariate neural network operators of the Kantorovich type have been proved. In order to establish such results, a suitable multivariate Strang–Fix type condition has been assumed.
Cantarini M., Costarelli D.
openaire   +4 more sources

On Stancu-Type Generalization of Modified p,q-Szász-Mirakjan-Kantorovich Operators

Journal of Function Spaces, 2021
In the present article, we construct p,q-Szász-Mirakjan-Kantorovich-Stancu operators with three parameters λ,α,β. First, the moments and central moments are estimated.
Yong-Mo Hu, Wen-Tao Cheng, Chun-Yan Gui, Wen-Hui Zhang   +3 more
doaj   +2 more sources

On a Family of Parameter-Based Bernstein Type Operators with Shape-Preserving Properties

Journal of Mathematics, 2023
This article aims to introduce a new linear positive operator with a parameter. Our focus lies in analyzing the distinct characteristics and inherent properties exhibited by this operator.
Bahareh Nouri, Jamshid Saeidian
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Some Approximation Properties of the p,q–Stancu–Schurer–Bleimann–Butzer–Hahn Operators

Journal 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

Abstract 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

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