New conformable fractional integrals of Ostrowski type using new generalized (s, m, ϕ)-preinvex mappings

Artion Kashuri; Rozana Liko

doi:10.1515/mjpaa-2017-0014

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New conformable fractional integrals of Ostrowski type using new generalized (s, m, ϕ)-preinvex mappings

Moroccan Journal of Pure and Applied Analysis

Volume 3 (2017): Issue 2 (December 2017)

By: Artion Kashuri and Rozana Liko

Open Access

|Jul 2018

Abstract

In the present paper, the notion of new generalized (s, m, ϕ)-preinvex mapping is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving new generalized (s, m, ϕ)-preinvex mappings along with beta function are given. Moreover, some generalizations of Ostrowski type inequalities for new generalized (s, m, ϕ)-preinvex mappings via conformable fractional integrals are established. At the end, some applications to special means are given.

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