On bivariate Kantorovich exponential sampling series

Author:

Kumar Prashant1,Sathish Kumar A.2ORCID,Bajpeyi Shivam3

Affiliation:

1. Department of Mathematics Visvesvaraya National Institute of Technology, Nagpur Nagpur India

2. Department of Mathematics Indian Institute of Technology Madras Chennai India

3. Department of Mathematics Indian Institute of Technology Delhi New Delhi India

Abstract

In this paper, we introduce and analyze the approximation properties of bivariate generalization for the family of Kantorovich type exponential sampling series. We derive the basic convergence result and Voronovskaya type theorem for the proposed sampling series. Using logarithmic modulus of smoothness, we establish the quantitative estimate of order of convergence for the Kantorovich type exponential sampling series. Furthermore, we study the convergence results for the generalized Boolean sum (GBS) operator associated with bivariate Kantorovich exponential sampling series. At the end, we provide a few examples of kernels to which the presented theory can be applied along with the graphical representation and error estimates.

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference47 articles.

1. Exponential-sampling method for Laplace and other dilationally invariant transforms: II. Examples in photon correlation spectroscopy and Fraunhofer diffraction

2. Sampling in Optics

3. Linear Prediction by Samples from the Past

4. The exponential sampling theorem of signal analysis. Dedicated to Prof. C. Vinti (Italian) (Perugia, 1996);Butzer P. L.;Atti. Sem. Mat. Fis. Univ. Modena Suppl.,1998

5. A direct approach to the mellin transform

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