A study on Hermite-Hadamard type inequalities for s-convex functions via conformable fractional integrals

Authors

  • Erhan Set
  • Abdurrahman Gözpınar

DOI:

https://doi.org/10.24193/subbmath.2017.3.04

Keywords:

s-convex functions, Hermite-Hadamard inequality, conformable fractional integrals.

Abstract

In the present note, firstly we established a generalization of Hermite Hadamard’s inequality for s-convex functions via conformable fractional integrals which generalized Riemann-Liouville fractional integrals. Secondly, we proved new identity involving conformable fractional integrals via beta and incompleted beta functions.Then, by using this identity, some Hermite Hadamard type integral inequalities for s-convex functions in the second sense are obtained.

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Published

2017-10-05

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Section

Articles