Open AccessSome Simpson type integral inequalities for functions whose third derivatives are ( α, m )- GA-convex functions
Author(s) -
YuJiao Li,
Tingsong Du
Publication year - 2016
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2015.05.009
Subject(s) - mathematics , inequality , convex function , regular polygon , type (biology) , pure mathematics , young's inequality , inequality of arithmetic and geometric means , class (philosophy) , value (mathematics) , mathematical analysis , rearrangement inequality , log sum inequality , statistics , geometry , ecology , artificial intelligence , computer science , biology
By using power-mean integral inequality and Hölder’s integral inequality, this paper establishes some new inequalities of Simpson type for functions whose three derivatives in absolute value are the class of (α, m)-geometric-arithmetically-convex functions. Finally, some applications to special means of positive real numbers have also been presented