Inequalities of Convex Functions and Self-Adjoint Operators | Zendy

Zlatko Pavić | Zendy

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Inequalities of Convex Functions and Self-Adjoint Operators

Author(s) -

Zlatko Pavić

Publication year - 2014

Publication title -

journal of operators

Language(s) - English

Resource type - Journals

eISSN - 2314-5064

pISSN - 2314-5072

DOI - 10.1155/2014/382364

Subject(s) - mathematics , convexity , operator (biology) , convex function , self adjoint operator , regular polygon , jensen's inequality , quasinormal operator , algebra over a field , operator theory , inequality , inequality of arithmetic and geometric means , pure mathematics , convex analysis , mathematical analysis , finite rank operator , convex optimization , hölder's inequality , linear inequality , hilbert space , geometry , repressor , banach space , chemistry , financial economics , biochemistry , transcription factor , economics , gene

The paper offers generalizations of the Jensen-Mercer inequality for self-adjoint operators and generally convex functions. The obtained results are applied to define the quasi-arithmetic operator means without using operator convexity. The version of the harmonic-geometric-arithmetic operatormean inequality is derived as an example

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