Extension of Jensen's Inequality for Operators without Operator Convexity | Zendy

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

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Extension of Jensen's Inequality for Operators without Operator Convexity

Author(s) -

Jadranka Mičić,

Zlatko Pavić,

‎Josip Pečarić

Publication year - 2011

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 - 10.1155/2011/358981

Subject(s) - mathematics , extension (predicate logic) , convexity , jensen's inequality , tuple , operator (biology) , inequality of arithmetic and geometric means , pure mathematics , convex function , operator theory , regular polygon , discrete mathematics , algebra over a field , inequality , linear inequality , mathematical analysis , kantorovich inequality , convex analysis , convex optimization , computer science , repressor , chemistry , financial economics , biochemistry , geometry , transcription factor , programming language , economics , gene

We give an extension of Jensen's inequality for -tuples of self-adjoint operators, unital -tuples of positive linear mappings, and real-valued continuous convex functions with conditions on the operators' bounds. We also study operator quasiarithmetic means under the same conditions

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