On the Convergence of Absolute Summability for Functions of Bounded Variation in Two Variables

By adopting some new ideas, we obtain the estimates of an absolute convergence for the functions of the bounded variation in two variables. Our results generalize the related results of Humphreys and Bojanic (1999) and Wang and Yu (2003) from one dimension to two dimensions and can be applied to sev...

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Main Authors: Ying Mei, Dansheng Yu
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/513206
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author Ying Mei
Dansheng Yu
author_facet Ying Mei
Dansheng Yu
author_sort Ying Mei
collection DOAJ
description By adopting some new ideas, we obtain the estimates of an absolute convergence for the functions of the bounded variation in two variables. Our results generalize the related results of Humphreys and Bojanic (1999) and Wang and Yu (2003) from one dimension to two dimensions and can be applied to several summability methods.
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institution Kabale University
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series Abstract and Applied Analysis
spelling doaj-art-7ea775e9c69a47f1a03e7b2b3794fb172025-08-20T03:35:48ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/513206513206On the Convergence of Absolute Summability for Functions of Bounded Variation in Two VariablesYing Mei0Dansheng Yu1Department of Mathematics, Lishui University, Lishui, Zhejiang 323000, ChinaDepartment of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, ChinaBy adopting some new ideas, we obtain the estimates of an absolute convergence for the functions of the bounded variation in two variables. Our results generalize the related results of Humphreys and Bojanic (1999) and Wang and Yu (2003) from one dimension to two dimensions and can be applied to several summability methods.http://dx.doi.org/10.1155/2012/513206
spellingShingle Ying Mei
Dansheng Yu
On the Convergence of Absolute Summability for Functions of Bounded Variation in Two Variables
Abstract and Applied Analysis
title On the Convergence of Absolute Summability for Functions of Bounded Variation in Two Variables
title_full On the Convergence of Absolute Summability for Functions of Bounded Variation in Two Variables
title_fullStr On the Convergence of Absolute Summability for Functions of Bounded Variation in Two Variables
title_full_unstemmed On the Convergence of Absolute Summability for Functions of Bounded Variation in Two Variables
title_short On the Convergence of Absolute Summability for Functions of Bounded Variation in Two Variables
title_sort on the convergence of absolute summability for functions of bounded variation in two variables
url http://dx.doi.org/10.1155/2012/513206
work_keys_str_mv AT yingmei ontheconvergenceofabsolutesummabilityforfunctionsofboundedvariationintwovariables
AT danshengyu ontheconvergenceofabsolutesummabilityforfunctionsofboundedvariationintwovariables