On generalized Ostrowski, Simpson and Trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals View Full Text


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Article Info

DATE

2021-06-26

AUTHORS

Hüseyin Budak, Fatih Hezenci, Hasan Kara

ABSTRACT

In this study, we prove an identity for twice partially differentiable mappings involving the double generalized fractional integral and some parameters. By using this established identity, we offer some generalized inequalities for differentiable co-ordinated convex functions with a rectangle in the plane R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb{R} ^{2}$\end{document}. Furthermore, by special choice of parameters in our main results, we obtain several well-known inequalities such as the Ostrowski inequality, trapezoidal inequality, and the Simpson inequality for Riemann and Riemann–Liouville fractional integrals. More... »

PAGES

312

References to SciGraph publications

  • 2020-01-06. Dynamics analysis of a delayed virus model with two different transmission methods and treatments in ADVANCES IN CONTINUOUS AND DISCRETE MODELS
  • 2012-01-04. A class of small deviation theorems for the random fields on an m rooted Cayley tree in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2019-05-02. Simpson type integral inequalities for generalized fractional integral in REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FÍSICAS Y NATURALES. SERIE A. MATEMÁTICAS
  • 2013-07-16. Ostrowski-type inequalities via h-convex functions with applications to special means in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2020-09-18. Hermite–Hadamard-type inequalities for the interval-valued approximately h-convex functions via generalized fractional integrals in JOURNAL OF INEQUALITIES AND APPLICATIONS
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