On Some Improvements of the Jensen Inequality with Some Applications | Zendy

Muhammad Adil Khan | Zendy; Matloob Anwar | Zendy; Julije Jakšetić | Zendy; ‎Josip Pečarić | Zendy

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On Some Improvements of the Jensen Inequality with Some Applications

Author(s) -

Muhammad Adil Khan,

Matloob Anwar,

Julije Jakšetić,

‎Josip Pečarić

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 - 10.1155/2009/323615

Subject(s) - mathematics , jensen's inequality , inequality , inequality of arithmetic and geometric means , log sum inequality , kantorovich inequality , calculus (dental) , algebra over a field , pure mathematics , rearrangement inequality , linear inequality , mathematical analysis , regular polygon , convex analysis , convex optimization , geometry , medicine , dentistry

An improvement of the Jensen inequality for convex and monotone function is given as well as various applications for mean. Similar results for related inequalities of the Jensen type are also obtained. Also some applications of the Cauchy mean and the Jensen inequality are discussed

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