On a More Accurate Half-Discrete Mulholland-Type Inequality Involving One Multiple Upper Limit Function

Author:

Huang Xianyong1ORCID,Yang Bicheng1

Affiliation:

1. Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 51003, China

Abstract

By the use of the weight functions, the symmetry property, and Hermite-Hadamard’s inequality, a more accurate half-discrete Mulholland-type inequality involving one multiple upper limit function is given. The equivalent conditions of the best possible constant factor related to multiparameters are studied. Furthermore, the equivalent forms, several inequalities for the particular parameters, and the operator expressions are provided.

Funder

Characteristic Innovation Project of Guangdong Provincial Colleges and Universities

Publisher

Hindawi Limited

Subject

Analysis

Reference26 articles.

1. Extension of Hilbert's inequality

2. On a generalization of Hilbert double series theorem;B. C. Yang;Journal of Nanjing University Mathematical Biquarterly,2001

3. A new discrete Hilbert-type inequality involving partial sums

4. Multiple Hilbert's type inequalities with a homogeneous kernel

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