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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Format: | Article |
Language: | English |
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SpringerOpen
2022-07-01
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Series: | Journal of Inequalities and Applications |
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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 $\mathbb{R} ^{2}$ . |
first_indexed | 2024-12-10T22:50:18Z |
format | Article |
id | doaj.art-2e9562e35e4b45e5a765c475d441e727 |
institution | Directory Open Access Journal |
issn | 1029-242X |
language | English |
last_indexed | 2024-12-10T22:50:18Z |
publishDate | 2022-07-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of Inequalities and Applications |
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 |