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Journal of Function Spaces
Volume 2018, Article ID 9569380, 8 pages
Research Article

On a New Extension of Mulholland’s Inequality in the Whole Plane

1Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 51003, China
2Guangxi Colleges and Universities Key Laboratory of Intelligent Processing of Computer Image and Graphics, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China
3Department of Computer Science, Guangdong University of Education, Guangzhou, Guangdong 51003, China

Correspondence should be addressed to Yanru Zhong; nc.ude.teug@gnohzesor

Received 4 November 2017; Accepted 12 December 2017; Published 1 February 2018

Academic Editor: Pasquale Vetro

Copyright © 2018 Bicheng Yang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A new, more accurate extension of Mulholland’s inequality in the whole plane with a best possible constant factor is presented by introducing independent parameters, applying weight coefficients and using Hermite-Hadamard’s inequality. Moreover, the equivalent forms, some particular cases, and the operator expressions are considered.