Generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvex functions

Artion Kashuri, Rozana Liko

Resumen


In the present paper, the notion of MTm-preinvex function is introduced and some new integral inequalities involving MTm-preinvex functions along with beta function are given. Moreover, some generalizations of Hermite-Hadamard and Ostrowski type inequalities for MTm-preinvexfunctions via classical integrals and Riemann-Liouville fractional integrals are established. These results not only extends the results appeared in the literature (see [10], [11], [12]), but also provide new estimates on these types.


Palabras clave


Euler Gamma function; Euler Beta function; MT-convex function; Hermite-Hadamard type inequality; Ostrowski type inequality; Hölder’s inequality; power mean inequality; fractional integral; m-invex; P-function.

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Referencias


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DOI: http://dx.doi.org/10.4067/S0716-09172017000100004

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