Hermite-Hadamard type fractional integral inequalities for generalized beta ( r , g )-preinvex functions

Hermite-Hadamard type fractional integral inequalities for generalized beta ( r , g )-preinvex functions

Abstract In the present paper, a new class of generalized beta (r, g)-preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving generalized beta (r, g)-preinvex functions are given. Moreover, some generalizations of H...

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Bibliographic Details
Main Authors: Kashuri,Artion, Liko,Rozana
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2017
Subjects:
Hermite-Hadamard type inequality
Hölder's inequality
Minkowski's inequality
Cauchy's inequality
power mean inequality
Riemann-Liouville fractional integral
s-convex function in the second sense
m-invex
P -function.
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400711
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