On Hermite–Hadamard type inequalities for newly defined generalized quantum integrals View Full Text


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Article Info

DATE

2021-10-15

AUTHORS

Hasan Kara, Hüseyin Budak

ABSTRACT

In this paper, we first introduce four new generalized quantum integrals of two variables functions which are called Tq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T_{q}$$\end{document}-integrals. We also give some examples of each of these given integrals. Then we establish corresponding Tq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T_{q}$$\end{document}-Hermite–Hadamard type inequalities for co-ordinated convex functions. In order to show correctness of our results, we apply our main theorems to several co-ordinated convex functions. More... »

PAGES

1-22

References to SciGraph publications

  • 2002. Quantum Calculus in NONE
  • 2020-02-14. On q-Hermite–Hadamard inequalities for general convex functions in ACTA MATHEMATICA HUNGARICA
  • 2012. A Comprehensive Treatment of q-Calculus in NONE
  • 2013-11-07. Quantum calculus on finite intervals and applications to impulsive difference equations in ADVANCES IN CONTINUOUS AND DISCRETE MODELS
  • 2020-06-26. Hermite–Hadamard type inequalities for m-convex and (α,m)-convex functions in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2020-07-29. Some New Quantum Hermite–Hadamard-Like Inequalities for Coordinated Convex Functions in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
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    http://scigraph.springernature.com/pub.10.1007/s11587-021-00662-5

    DOI

    http://dx.doi.org/10.1007/s11587-021-00662-5

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