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