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Generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized s-convex in the second sense

Budak H., Sarikaya M. Z., Set E.

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 4

11-21

In this paper, we establish some generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized s-convex in the second sense.

On Hermite-Hadamard type inequalities for s-convex mappings via fractional integrals of a function with respect to another function

Budak H., Sarikaya M. Z.

Fasciculi Mathematici

2016

Nr 57

25--36

In this paper, we obtain some Hermite-Hadamard type inequalities for s-convex function via fractional integrals with respect to another function which generalize the Riemann-Liouville fractional integrals and the Hadamard fractional integrals. The results presented here provide extensions of those given in earlier works.