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

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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.

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.

참고문헌 (13)

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  5. H. Mo, "Generalized convex functions on fractal sets and two related inequalities", Abstract and Applied Analysis, 2014, pp.7~
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  7. J. Park, "Hermite and Simpson-like type inequalities for functions whose second derivatives in absolute values at certain power are s-convex", Int. J. Pure Appl. Math, pp.587~604 (2012)
  8. M. Z. Sarikaya, "On new inequalities of Simpson's type for convex functions", RGMIA Res. Rep. Coll, 13(2) (2010)
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  10. X. J. Yang, "Advanced Local Fractional Calculus and Its Applications" (2012), World Science Publisher
  11. X. J. Yang, "Local fractional integral equations and their applications", Advances in Computer Science and its Applications, 1(4) (2012)
  12. X. J. Yang, "Generalized local fractional Taylor's formula with local fractional derivative", Journal of Expert Systems, 1(1), pp.26~30 (2012)
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