SOME FRACTIONAL ESTIMATES OF UPPER BOUNDS INVOLVING FUNCTIONS HAVING EXPONENTIAL CONVEXITY PROPERTY

SOME FRACTIONAL ESTIMATES OF UPPER BOUNDS INVOLVING FUNCTIONS HAVING EXPONENTIAL CONVEXITY PROPERTY

S. Rashid, M. A. Noor, A. O. Akdemir, K. I. Noor

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Abstract

The main objective of this article is to consider the class of exponentially convex functions. We derive a new integral identity involving Riemann-Liouville frac- tional integral. Utilizing this identity as an auxiliary result we obtain new fractional bounds involving the functions having exponential convexity property.

Keywords

Convex functions, exponential convex functions, Hermite-Hadamard inequal- ity, Riemann-Liouville fractional integral.