(alpha,m1,m2)-convexity and some inequalities of Hermite-Hadamard type

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:2
(alpha,m1,m2)-convexity and some inequalities of Hermite-Hadamard type

(alpha,m1,m2)-convexity and some inequalities of Hermite-Hadamard type

Pages : 2128-2142

View : 11 | Download : 7

Publication Date : 2019-08-01

Article Type : Research Paper

Abstract :In this paper, we introduce a new class of extended insert ignore into journalissuearticles values(alpha;m1;m2);- convex functions. Some algebraic properties of these class functions have been investigated. Some new Hermite-Hadamard type inequalities are derived. Results represent signicant refinement and improvement of the previous results. Also, the author establish a new integral identity and, by this identity, Hölder`s and power mean inequality, discover some new Hermite-Hadamard type inequalities for functions whose first derivatives are insert ignore into journalissuearticles values(alpha;m1;m2);-convex. Our results are new and coincide with the previous results in special cases.
Keywords : Convex function, m Convex function alpha, m, Convex function alpha, m1, m2, Convex function, Hermite Hadamard type inequality

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