Some Fractal-Fractional Integral Inequalities for Different Kinds of Convex Functions

Abstract

The main objective of this work is to establish new upper bounds for different kinds of convex functions by using fractal-fractional integral operators with power law kernel. Furthermore, to enhance the paper, some new inequalities are obtained for product of different kinds of convex functions. The analysis used in the proofs is fairly elementary and based on the use of the well known Hölder inequality.

Keywords

• Fractal-fractional integral operator
• Hölder inequality
• m-convexity
• s-convexity

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