Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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CERTAIN GENERALIZED OSTROWSKI TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS

  • Choi, Junesang (Department of Mathematics Dongguk University) ;
  • Set, Erhan (Department of Mathematics Faculty of Science and Arts Ordu University) ;
  • Tomar, Muharrem (Department of Mathematics Faculty of Science and Arts Ordu University)
  • Received : 2016.07.04
  • Accepted : 2016.08.05
  • Published : 2017.07.31
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Abstract

We give a function associated with generalized Ostrowski type inequality and its integral representation for local fractional calculus. Then, using this function and its integral representation, we establish several inequalities of generalized Ostrowski type for twice local fractional differentiable functions. We also consider some special cases of the main results which are further applied to a concrete function to yield two interesting inequalities associated with two generalized means.

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References

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