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On Reverse Hilbert–Pachpatte-Type Inequalities

  • Chang-Jian ZhaoEmail author
  • Wing-Sum Cheung
Research Paper
  • 19 Downloads
Part of the following topical collections:
  1. Mathematics

Abstract

In the present paper, we establish some reverse Hilbert-type inequalities which in special case yield some inverses of Pachpatte’s inequalities. Our results provide some new estimates to these types of inequalities.

Keywords

Hilbert’s inequality Hilbert’s integral inequality Pölya–Szegös inequality Young’s inequality 

Mathematics Subject Classification

26D15 

Notes

Acknowledgements

The authors express their grateful thanks to the three referees for their excellent suggestions and comments. C.-J. Zhao: Research is supported by National Natural Science Foundation of China (11371334, 10971205).

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Copyright information

© Shiraz University 2019

Authors and Affiliations

  1. 1.Department of MathematicsChina Jiliang UniversityHangzhouPeople’s Republic of China
  2. 2.Department of MathematicsThe University of Hong KongPokfulam, Hong KongPeople’s Republic of China

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