On an Extension of Shapiro's Cyclic Inequality | Zendy

NguyenMinh Tuan | Zendy; LeQuy Thuong | Zendy

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On an Extension of Shapiro's Cyclic Inequality

Author(s) -

NguyenMinh Tuan,

LeQuy Thuong

Publication year - 2009

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/2009/491576

Subject(s) - mathematics , extension (predicate logic) , inequality , mathematical proof , generalization , log sum inequality , quadratic equation , pure mathematics , rearrangement inequality , calculus (dental) , mathematical analysis , geometry , medicine , dentistry , computer science , programming language

We prove an interesting extension of the Shapiro's cyclic inequality for four and five variables and formulate a generalization of the well-known Shapiro's cyclic inequality. The method used in the proofs of the theorems in the paper concerns the positive quadratic forms

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