Convergence Properties of a Kantorovich Type of Szász Operators Involving Negative Order Genocchi Polynomials

Author:

AĞYÜZ Erkan1ORCID

Affiliation:

1. GAZİANTEP ÜNİVERSİTESİ

Abstract

The goal of this research is to construct a generalization of a Kantorovich type of Szász operators involving negative-order Genocchi polynomials. With the aid of Korovkin’s theorem, modulus of continuity, Lipschitz class, and Peetre’s K-functional the approximation properties and convergence rate of these operators are established. To illustrate how operators converge to a certain function, we present some examples.

Publisher

Gazi University

Reference30 articles.

1. Agyuz, E. (2021a). On The Convergence Properties of Kantorovich-Szász Type Operators Involving Tangent Polynomials. Adıyaman University Journal of Science, 11(2), 244-252. doi:10.37094/adyujsci.905311

2. Agyuz, E. (2021b, November 11-12). Convergence by Szász type operators based on Euler type polynomials. In: The 3rd & 4th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM 2020-2021). Antalya, Türkiye.

3. Agyuz, E. (2022). A Study on Kantorovich Type Operator Involving Adjoint Euler Polynomials. Conference Proceedings of Science and Technology, 5(1),178-181.

4. Agyuz, E. (2023). A Generalization of Szász Type Operators Involving Generating Function of Negative Order Genocchi Polynomials. In: A. Akpınar (Eds.), Research on Mathematics and Science, (pp. 15-26). doi:10.58830/ozgur.pub81

5. Altomare, F. (2010). Korovkin-type theorems and approximation by positive linear operators. Survey Approx. Theory, 5, 92-164.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3