Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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k-FRACTIONAL INTEGRAL INEQUALITIES FOR (h - m)-CONVEX FUNCTIONS VIA CAPUTO k-FRACTIONAL DERIVATIVES

  • Received : 2018.11.26
  • Accepted : 2019.06.03
  • Published : 2019.06.30
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Abstract

In this paper, first we obtain some inequalities of Hadamard type for (h - m)-convex functions via Caputo k-fractional derivatives. Secondly, two integral identities including the (n + 1) and (n+ 2) order derivatives of a given function via Caputo k-fractional derivatives have been established. Using these identities estimations of Hadamard type integral inequalities for the Caputo k-fractional derivatives have been proved.

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References

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