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

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.

Język:: Angielski

Częstotliwość wydawania:: 3 razy w roku
Dziedziny czasopisma:: Matematyka, Analiza, Równania różniczkowe i układy dynamiczne, Prawdopodobieństwo i statystyka, Matematyka numeryczna i obliczeniowa

Kanał RSS czasopisma

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

Artion Kashuri

Rozana Liko

Data publikacji: 28 lip 2018

Zakres stron: 173 - 185

Otrzymano: 06 cze 2017

Przyjęty: 22 maj 2018

DOI: https://doi.org/10.1515/mjpaa-2017-0014

Słowa kluczoweOstrowski type inequality, Hölder’s inequality, Power mean inequality, Riemann- Liouville fractional integrals, Conformable fractional integrals, -convex function in the second sense, -invex, -function

© 2018 Artion Kashuri et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Słowa kluczowe
Ostrowski type inequality, Hölder’s inequality, Power mean inequality, Riemann- Liouville fractional integrals, Conformable fractional integrals, -convex function in the second sense, -invex, -function