Korean J. Math.  Vol 27, No 2 (2019)  pp.279-295
DOI: https://doi.org/10.11568/kjm.2019.27.2.279

On new inequalities of Simpson's type for generalized convex functions

Mehmet Zeki Sarıkaya, Huseyin Budak, Samet Erden

Abstract


In this paper, using local fractional integrals on fractal sets $R^{\alpha }$ $\left( 0<\alpha \leq 1\right) $ of real line numbers, we establish new some inequalities of Simpson's type based on generalized convexity.


Keywords


Simpson’s inequality, local fractional integral, fractal space, generalized convex function

Subject classification

26D15, 26D10.

Sponsor(s)



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References


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