Some new Ostrowski type fractional integral inequalities for generalized (s,m, φ)-preinvex functions via Caputo k -fractional derivatives

Some new Ostrowski type fractional integral inequalities for generalized (s,m, φ)-preinvex functions via Caputo k -fractional derivatives

Abstract: In the present paper, the notion of generalized (s, m, φ)-preinvex function is applied to establish some new generalizations of Ostrowski type integral inequalities via Caputo k-fractional derivatives. At the end, some applications to special means are given.

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Bibliographic Details
Main Authors: Kashuri,Artion, Liko,Rozana
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2018
Subjects:
Ostrowski’ type inequality
Hölder's inequality
power mean inequality
s-;convex function in the second sense, m-invex.
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100133
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http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100133

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