Ostrowski type inequalities for functions whose derivatives are strongly  $(\alpha,m)$-convex  via k-Riemann-Liouville fractional integrals

Seth Kermausuor

doi:10.24193/subbmath.2019.1.03

Ostrowski type inequalities for functions whose derivatives are strongly $(\alpha,m)$-convex via k-Riemann-Liouville fractional integrals

Authors

Seth Kermausuor Alabama State University http://orcid.org/0000-0002-8847-8820

DOI:

https://doi.org/10.24193/subbmath.2019.1.03

Keywords:

Ostowski inequality, strongly convex functions, strongly $(\alpha, m)$-convex functions, Riemann-Liouville fractional integrals, H\"older's inequality

Abstract

In this paper, we provide some Ostrowski type integral inequalities for functions whose derivatives in absolute value at some powers are strongly $(\alpha,m)$-convex with modulus $\mu\geq0$ via the $k$-Riemann-Liouvile fractional integral. Similar results related to $(\alpha,m)$-convex functions are obtained as a particular case.