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

Seth Kermausuor

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.

Keywords


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

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DOI: http://dx.doi.org/10.24193/subbmath.2019.1.03

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