Open AccessGeneral Lebesgue integral inequalities of Jensen and Ostrowski type for differentiable functions whose derivatives in absolute value are h-convex and applications
Author(s) -
Sever S Dragomir
Publication year - 2015
Publication title -
annales universitatis mariae curie-skłodowska. sectio a, mathematica
Language(s) - English
Resource type - Journals
eISSN - 2083-7402
pISSN - 0365-1029
DOI - 10.17951/a.2015.69.2.17-45
Subject(s) - lebesgue integration , mathematics , differentiable function , pure mathematics , convex function , absolute continuity , type (biology) , divergence (linguistics) , regular polygon , mathematical analysis , ecology , philosophy , geometry , biology , linguistics
Some inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral of differentiable functions whose derivatives in absolute value are h-convex are obtained. Applications for f-divergence measure are provided as well.