On fractional Simpson type integral inequalities for co-ordinated convex functions

Abstract In this study, we prove equality for twice partially differentiable mappings involving the double generalized fractional integral. Using the established identity, we offer some Simpson’s type inequalities for partially differentiable co-ordinated convex functions in a rectangle from the pla...

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Main Authors: Sundas Khan, Hüseyin Budak
Format: Article
Language:English
Published: SpringerOpen 2022-07-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-022-02830-z
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author Sundas Khan
Hüseyin Budak
author_facet Sundas Khan
Hüseyin Budak
author_sort Sundas Khan
collection DOAJ
description Abstract In this study, we prove equality for twice partially differentiable mappings involving the double generalized fractional integral. Using the established identity, we offer some Simpson’s type inequalities for partially differentiable co-ordinated convex functions in a rectangle from the plane R 2 $\mathbb{R} ^{2}$ .
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spelling doaj.art-2e9562e35e4b45e5a765c475d441e7272022-12-22T01:30:27ZengSpringerOpenJournal of Inequalities and Applications1029-242X2022-07-012022112010.1186/s13660-022-02830-zOn fractional Simpson type integral inequalities for co-ordinated convex functionsSundas Khan0Hüseyin Budak1Department of Mathematics, Government College Women UniversityDepartment of Mathematics, Faculty of Science and Arts, Düzce UniversityAbstract In this study, we prove equality for twice partially differentiable mappings involving the double generalized fractional integral. Using the established identity, we offer some Simpson’s type inequalities for partially differentiable co-ordinated convex functions in a rectangle from the plane R 2 $\mathbb{R} ^{2}$ .https://doi.org/10.1186/s13660-022-02830-zSimpson’s inequalityIntegral inequalitiesFractional calculusCo-ordinated convex functions
spellingShingle Sundas Khan
Hüseyin Budak
On fractional Simpson type integral inequalities for co-ordinated convex functions
Journal of Inequalities and Applications
Simpson’s inequality
Integral inequalities
Fractional calculus
Co-ordinated convex functions
title On fractional Simpson type integral inequalities for co-ordinated convex functions
title_full On fractional Simpson type integral inequalities for co-ordinated convex functions
title_fullStr On fractional Simpson type integral inequalities for co-ordinated convex functions
title_full_unstemmed On fractional Simpson type integral inequalities for co-ordinated convex functions
title_short On fractional Simpson type integral inequalities for co-ordinated convex functions
title_sort on fractional simpson type integral inequalities for co ordinated convex functions
topic Simpson’s inequality
Integral inequalities
Fractional calculus
Co-ordinated convex functions
url https://doi.org/10.1186/s13660-022-02830-z
work_keys_str_mv AT sundaskhan onfractionalsimpsontypeintegralinequalitiesforcoordinatedconvexfunctions
AT huseyinbudak onfractionalsimpsontypeintegralinequalitiesforcoordinatedconvexfunctions