Generalized fractional integral inequalities of Hermite–Hadamard type for (α,m)-convex functions View Full Text


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Article Info

DATE

2019-05-14

AUTHORS

Feng Qi, Pshtiwan Othman Mohammed, Jen-Chih Yao, Yong-Hong Yao

ABSTRACT

In the paper, the authors establish some generalized fractional integral inequalities of the Hermite–Hadamard type for (α,m)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(\alpha,m)$\end{document}-convex functions, show that one can find some Riemann–Liouville fractional integral inequalities and classical integral inequalities of the Hermite–Hadamard type, and generalize and extend some known results. More... »

PAGES

135

References to SciGraph publications

  • 2012-11-22. Some Hermite-Hadamard type inequalities for n-time differentiable (α,m)-convex functions in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2016-01-20. On some Hermite–Hadamard type inequalities for (s, QC)-convex functions in SPRINGERPLUS
  • 1997. Fractional Calculus in FRACTALS AND FRACTIONAL CALCULUS IN CONTINUUM MECHANICS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1186/s13660-019-2079-6

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    http://dx.doi.org/10.1186/s13660-019-2079-6

    DIMENSIONS

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