Journal of Applied and Pure Mathematics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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REFINEMENTS OF FRACTIONAL VERSIONS OF HADAMARD INEQUALITY FOR LIOUVILLE-CAPUTO FRACTIONAL DERIVATIVES

  • Received : 2022.04.27
  • Accepted : 2023.02.07
  • Published : 2023.03.30
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Abstract

The Hadamard type inequalities for fractional integral operators of convex functions are studied at very large scale. This paper provides the Hadamard type inequalities for refined (α,h-m)-convex functions by utilizing Liouville-Caputo fractional (L-CF) derivatives. These inequalities give refinements of already existing (L-CF) inequalities of Hadamard type for many well known classes of functions provided the function h is bounded above by ${\frac{1}{\sqrt{2}}}$.

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Acknowledgement

We are thankful to reviewers for their review and suggestions.

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