# On some inequalities for generalized s-convex functions and applications on fractal sets

Volume 10, Issue 2, pp 583--594
Publication Date: February 20, 2017 Submission Date: November 29, 2016
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### Authors

Adem Kilicman - Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia. Wedad Saleh - Department of Mathematics, Putra University of Malaysia (UPM), Serdang, Malaysia.

### Abstract

The authors present some new inequalities of generalized Hermite-Hadamard’s type for the class of functions whose second local fractional derivatives of order $\alpha$ in absolute value at certain powers are generalized s-convex functions in the second sense. Moreover, some applications are given.

### Share and Cite

##### ISRP Style

Adem Kilicman, Wedad Saleh, On some inequalities for generalized s-convex functions and applications on fractal sets, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 2, 583--594

##### AMA Style

Kilicman Adem, Saleh Wedad, On some inequalities for generalized s-convex functions and applications on fractal sets. J. Nonlinear Sci. Appl. (2017); 10(2):583--594

##### Chicago/Turabian Style

Kilicman, Adem, Saleh, Wedad. "On some inequalities for generalized s-convex functions and applications on fractal sets." Journal of Nonlinear Sciences and Applications, 10, no. 2 (2017): 583--594

### Keywords

• s-convex functions
• fractal space
• local fractional derivative.

•  26A51
•  26D07
•  26D15

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