A more accurate Mulholland-type inequality in the whole plane

By introducing independent parameters, applying the weight coefficients, and Hermite-Hadamard’s inequality, we give a more accurate Mulholland-type inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, the reverses, a few particular cases, and the ope...

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Bibliographic Details
Published in:Journal of inequalities and applications 2017-12, Vol.2017 (1), p.1-15, Article 315
Main Authors: Zhong, Yanru, Yang, Bicheng, Chen, Qiang
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
equivalent form
Inequality
Mathematics
Mathematics and Statistics
Mulholland’s inequality
operator expression
parameter
weight coefficient
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Summary:By introducing independent parameters, applying the weight coefficients, and Hermite-Hadamard’s inequality, we give a more accurate Mulholland-type inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, the reverses, a few particular cases, and the operator expressions are considered.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-017-1589-3