Fejér type integral inequalities related with geometrically-arithmetically convex functions with applications | Zendy

Sever S Dragomir | Zendy; Muhammad Amer Latif | Zendy; E. Momoniat | Zendy

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Fejér type integral inequalities related with geometrically-arithmetically convex functions with applications

Author(s) -

Sever S Dragomir,

Muhammad Amer Latif,

E. Momoniat

Publication year - 2019

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2019.23.05

Subject(s) - mathematics , convex function , type (biology) , differentiable function , convexity , pure mathematics , inequality , regular polygon , identity (music) , hermite polynomials , hadamard transform , concave function , function (biology) , special functions , mathematical analysis , geometry , ecology , physics , acoustics , financial economics , economics , biology , evolutionary biology

A new identity involving a geometrically symmetric function and a differentiable function is established. Some new Fejer type integral inequalities, connected with the left part of Hermite-Hadamard type inequalities for geometrically-arithmetically convex functions, are presented by using the Holder integral inequality and the notion of geometrically-arithmetically convexity. Applications of our results to special means of positive real numbers are given.

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