Open AccessExternal Jensen-type operator inequalities via superquadraticity
Author(s) -
Mohsen Kian,
Mario Krnić,
Mohsen Rostamian Delavar
Publication year - 2020
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm191010031k
Subject(s) - mathematics , jensen's inequality , type (biology) , operator (biology) , inequality , class (philosophy) , pure mathematics , inequality of arithmetic and geometric means , log sum inequality , algebra over a field , calculus (dental) , mathematical analysis , rearrangement inequality , regular polygon , computer science , geometry , convex analysis , convex optimization , artificial intelligence , dentistry , medicine , repressor , ecology , chemistry , biology , biochemistry , transcription factor , gene
In this paper we establish several Jensen-type operator inequalities for a class of superquadratic functions and self-adjoint operators. Our results are given in the so-called external form. As an application, we give improvements of the H?lder-McCarthy inequality and the classical discrete and integral Jensen inequality in the corresponding external forms. In addition, the established Jensen-type inequalities are compared with the previously known results and we show that our results provide more accurate estimates in some general settings.