Hermite–Hadamard–Fejér Type Inequalities for p-Convex Functions via Fractional Integrals

By M. Kunt, Imdat Iscan. Iranian Journal of Science and Technology Transactions A Science, 2017

108 citations recorded by the source corpus.

In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions in fractional integral forms are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions in fractional integral forms are obtained. Finally, some Hermite–Hadamard and Hermite–Hadamard–Fejér inequalities for convex, harmonically convex and p-convex functions are given. Many results presented here for p-convex functions provide extensions of others given in earlier works for convex, harmonically convex and p-convex functions.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/ae0ab6723ebe198cfb559b5277b437a87c507f29

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In Applied Mathematics

  1. Hua Chen
  2. Udita N. Katugampola
  3. Thabet Abdeljawad
  4. Fahd Jarad
  5. E. Capelas de Oliveira
  6. D. S. Oliveira
  7. Dumitru Băleanu
  8. Saima Rashid

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