Results 21 to 30 of about 497 (121)

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

Journal of Mathematics, Volume 2023, Issue 1, 2023., 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. Additionally, we provide a proof of the convergence rate and present a revised version of the Voronovskaja theorem specifically tailored for this newly defined ...
Bahareh Nouri, Jamshid Saeidian, Firdous A. Shah   +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

A Class of Integral Operators that Fix Exponential Functions [PDF]

, 2021
In this paper we introduce a general class of integral operators that fix exponential functions, containing several recent modified operators of Gauss–Weierstrass, or Picard or moment type operators.
Başar Yilmaz, Carlo Bardaro, Gumrah Uysal, Ilaria Mantellini   +3 more
core   +1 more source

Approximation Properties of (p, q)‐Szász‐Mirakjan‐Durrmeyer Operators

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this article, we introduce a new Durrmeyer‐type generalization of (p, q)‐Szász‐Mirakjan operators using the (p, q)‐gamma function of the second kind. The moments and central moments are obtained. Then, the Voronovskaja‐type asymptotic formula is investigated and point‐wise estimates of these operators are studied.
Zhi-Peng Lin, Wen-Tao Cheng, Xiao-Wei Xu, Mohammad Mursaleen   +3 more
wiley   +1 more source

Convergence of generalized sampling series in weighted spaces

Demonstratio Mathematica, 2022
The present paper deals with an extension of approximation properties of generalized sampling series to weighted spaces of functions. A pointwise and uniform convergence theorem for the series is proved for functions belonging to weighted spaces.
Acar Tuncer, Alagöz Osman, Aral Ali, Costarelli Danilo, Turgay Metin, Vinti Gianluca   +5 more
doaj   +1 more source

Bézier-Summation-Integral-Type Operators That Include Pólya–Eggenberger Distribution

Mathematics, 2022
We define the summation-integral-type operators involving the ideas of Pólya–Eggenberger distribution and Bézier basis functions, and study some of their basic approximation properties. In addition, by means of the Ditzian–Totik modulus of smoothness, we
Syed Abdul Mohiuddine, Arun Kajla, Abdullah Alotaibi   +2 more
doaj   +1 more source

Approximation by Bézier Variant of Baskakov‐Durrmeyer‐Type Hybrid Operators

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
We give a Bézier variant of Baskakov‐Durrmeyer‐type hybrid operators in the present article. First, we obtain the rate of convergence by using Ditzian‐Totik modulus of smoothness and also for a class of Lipschitz function. Then, weighted modulus of continuity is investigated too.
Lahsen Aharouch, Khursheed J. Ansari, M. Mursaleen, Giovanni Di Fratta   +3 more
wiley   +1 more source

Approximation Theorem for New Modification of q‐Bernstein Operators on (0,1)

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this work, we extend the works of F. Usta and construct new modified q‐Bernstein operators using the second central moment of the q‐Bernstein operators defined by G. M. Phillips. The moments and central moment computation formulas and their quantitative properties are discussed.
Yun-Shun Wu, Wen-Tao Cheng, Feng-Lin Chen, Yong-Hui Zhou, Tuncer Acar   +4 more
wiley   +1 more source

Some approximation properties of new Kantorovich type q-analogue of Balázs–Szabados operators

Journal of Inequalities and Applications, 2020
In this paper, we define a new Kantorovich type q-analogue of the Balázs–Szabados operators, we give some local approximation properties of these operators and prove a Voronovskaja type theorem.
Hayatem Hamal, Pembe Sabancigil
doaj   +1 more source