Some Simpson type integral inequalities for functions whose third derivatives are ( α, m )- GA-convex functions | Zendy

Yujiao Li Yujiao Li | Zendy; Tingsong Du | Zendy

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Some Simpson type integral inequalities for functions whose third derivatives are ( α, m )- GA-convex functions

Author(s) -

Yujiao Li Yujiao Li,

Tingsong Du

Publication year - 2015

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 , young's inequality , type (biology) , pure mathematics , inequality of arithmetic and geometric means , class (philosophy) , mathematical analysis , log sum inequality , rearrangement inequality , 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

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