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

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Kocaeli Journal of Science and Engineering
Volume:5 Issue:ICOLES2021 Special Issue:Özel Issue
Some Fractal-Fractional Integral Inequalities for Different Kinds of Convex Functions

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

Pages : 18-24

View : 19 | Download : 12

Publication Date : 2022-11-30

Article Type : Research Paper

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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