On a Parametric Mulholland-Type Inequality and Applications

In this paper, by the use of the weight functions, and the idea of introducing parameters, a discrete Mulholland-type inequality with the general homogeneous kernel and the equivalent form are given. The equivalent statements of the best possible constant factor related to a few parameters are provi...

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Main Authors: Bicheng Yang, Meifa Huang, Yanru Zhong
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2019/8317029
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author Bicheng Yang
Meifa Huang
Yanru Zhong
author_facet Bicheng Yang
Meifa Huang
Yanru Zhong
author_sort Bicheng Yang
collection DOAJ
description In this paper, by the use of the weight functions, and the idea of introducing parameters, a discrete Mulholland-type inequality with the general homogeneous kernel and the equivalent form are given. The equivalent statements of the best possible constant factor related to a few parameters are provided. As applications, the operator expressions and a few particular examples are considered.
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institution Kabale University
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language English
publishDate 2019-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-69dbd5dfa9674925adce35fcc7e8205c2025-02-03T05:51:52ZengWileyAbstract and Applied Analysis1085-33751687-04092019-01-01201910.1155/2019/83170298317029On a Parametric Mulholland-Type Inequality and ApplicationsBicheng Yang0Meifa Huang1Yanru Zhong2Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, ChinaSchool of Mechanical Science and Electrical Engineering, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaSchool of Computer Science and Information Security, Guilin University of Electronic Technology, Guilin, Guangxi 541004, ChinaIn this paper, by the use of the weight functions, and the idea of introducing parameters, a discrete Mulholland-type inequality with the general homogeneous kernel and the equivalent form are given. The equivalent statements of the best possible constant factor related to a few parameters are provided. As applications, the operator expressions and a few particular examples are considered.http://dx.doi.org/10.1155/2019/8317029
spellingShingle Bicheng Yang
Meifa Huang
Yanru Zhong
On a Parametric Mulholland-Type Inequality and Applications
Abstract and Applied Analysis
title On a Parametric Mulholland-Type Inequality and Applications
title_full On a Parametric Mulholland-Type Inequality and Applications
title_fullStr On a Parametric Mulholland-Type Inequality and Applications
title_full_unstemmed On a Parametric Mulholland-Type Inequality and Applications
title_short On a Parametric Mulholland-Type Inequality and Applications
title_sort on a parametric mulholland type inequality and applications
url http://dx.doi.org/10.1155/2019/8317029
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