Publication: Several new integral inequalities via caputo k-fractional derivative operators
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Authors
Çelik, Barış
Authors
Butt, Saad Ihsan
Ozdemir, M. Emin
Umar, Muhammad
Advisor
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World Scientific Publ Co Pte Ltd
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Abstract
In this paper, we establish several new integral inequalities involving Caputo k-fractional derivatives for eta-quasi-convex and s-Godunova-Levin convex. In order to obtain our results, we use some classical inequalities such as Holder's inequality and its power mean and weighted versions.
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Keywords
Convex function, Eta-quasi-convex, S-convex, S-godunova-levin type, Caputo k-fractional integral, Hermite-hadamard inequality, Holder inequality, Weighted holder inequality, Power mean inequality, Science & technology, Physical sciences, Mathematics, Mathematics