On Ostrowski type inequalities
2016
scientific article
english
- Ostrowski's inequality
- s-convex functions
- Riemann-Liouville fractional integral operator
- Fox-Wright function
- Stolarsky's means
EN In this paper, new forms of Ostrowski type inequalities are established for a general class of fractional integral operators. The main results are used to derive Ostrowski type inequalities involving the familiar Riemann-Liouville fractional integral operators and other important integral operators. We further obtain similar types of inequalities for the integral operators whose kernels are the Fox-Wright generalized hypergeometric function. Several consequences and special cases of some of the results including applications to Stolarsky's means are also pointed out.
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CC BY-NC-ND (attribution - noncommercial - no derivatives)
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