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

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, 61080, Trabzon, Turkey

    Mehmet Kunt

  2. Department of Mathematics, Faculty of Sciences and Arts, Giresun University, 28200, Giresun, Turkey

    İmdat İşcan

Authors
  1. Mehmet Kunt
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  2. İmdat İşcan
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Correspondence to Mehmet Kunt.

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Kunt, M., İşcan, İ. Hermite–Hadamard–Fejér Type Inequalities for p-Convex Functions via Fractional Integrals. Iran J Sci Technol Trans Sci 42, 2079–2089 (2018). https://doi.org/10.1007/s40995-017-0352-4

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  • DOI: https://doi.org/10.1007/s40995-017-0352-4

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