The Inequalities for Quasiarithmetic Means | Zendy

Jadranka Mičić | Zendy; Zlatko Pavić | Zendy; ‎Josip Pečarić | Zendy

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The Inequalities for Quasiarithmetic Means

Author(s) -

Jadranka Mičić,

Zlatko Pavić,

‎Josip Pečarić

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/203145

Subject(s) - mathematics , convexity , operator (biology) , inequality , jensen's inequality , calculus (dental) , pure mathematics , algebra over a field , mathematical analysis , regular polygon , convex analysis , convex optimization , geometry , medicine , biochemistry , chemistry , dentistry , repressor , transcription factor , financial economics , economics , gene

Overview and refinements of the results are given for discrete, integral, functional and operator variants of inequalities for quasiarithmetic means. The general results are applied to further refinements of the power means. Jensen's inequalities have been systematically presented, from the older variants, to the most recent ones for the operators without operator convexity.

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