Inclusions Involving Interval-Valued Harmonically Co-Ordinated Convex Functions and Raina’s Fractional Double Integrals

The aim of this article is to obtain some new integral inclusions essentially using the interval-valued harmonically co-ordinated convex functions and κ-Raina’s fractional double integrals. To show the validity of our theoretical results, we also give some numerical examples.

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Main Authors: Bandar Bin Mohsin, Muhammad Uzair Awan, Muhammad Zakria Javed, Hüseyin Budak, Awais Gul Khan, Muhammad Aslam Noor
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/5815993
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author Bandar Bin Mohsin
Muhammad Uzair Awan
Muhammad Zakria Javed
Hüseyin Budak
Awais Gul Khan
Muhammad Aslam Noor
author_facet Bandar Bin Mohsin
Muhammad Uzair Awan
Muhammad Zakria Javed
Hüseyin Budak
Awais Gul Khan
Muhammad Aslam Noor
author_sort Bandar Bin Mohsin
collection DOAJ
description The aim of this article is to obtain some new integral inclusions essentially using the interval-valued harmonically co-ordinated convex functions and κ-Raina’s fractional double integrals. To show the validity of our theoretical results, we also give some numerical examples.
format Article
id doaj-art-98ddb940aed54078b80fc94f44f4326c
institution Kabale University
issn 2314-4785
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-98ddb940aed54078b80fc94f44f4326c2025-02-03T01:20:36ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/5815993Inclusions Involving Interval-Valued Harmonically Co-Ordinated Convex Functions and Raina’s Fractional Double IntegralsBandar Bin Mohsin0Muhammad Uzair Awan1Muhammad Zakria Javed2Hüseyin Budak3Awais Gul Khan4Muhammad Aslam Noor5Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe aim of this article is to obtain some new integral inclusions essentially using the interval-valued harmonically co-ordinated convex functions and κ-Raina’s fractional double integrals. To show the validity of our theoretical results, we also give some numerical examples.http://dx.doi.org/10.1155/2022/5815993
spellingShingle Bandar Bin Mohsin
Muhammad Uzair Awan
Muhammad Zakria Javed
Hüseyin Budak
Awais Gul Khan
Muhammad Aslam Noor
Inclusions Involving Interval-Valued Harmonically Co-Ordinated Convex Functions and Raina’s Fractional Double Integrals
Journal of Mathematics
title Inclusions Involving Interval-Valued Harmonically Co-Ordinated Convex Functions and Raina’s Fractional Double Integrals
title_full Inclusions Involving Interval-Valued Harmonically Co-Ordinated Convex Functions and Raina’s Fractional Double Integrals
title_fullStr Inclusions Involving Interval-Valued Harmonically Co-Ordinated Convex Functions and Raina’s Fractional Double Integrals
title_full_unstemmed Inclusions Involving Interval-Valued Harmonically Co-Ordinated Convex Functions and Raina’s Fractional Double Integrals
title_short Inclusions Involving Interval-Valued Harmonically Co-Ordinated Convex Functions and Raina’s Fractional Double Integrals
title_sort inclusions involving interval valued harmonically co ordinated convex functions and raina s fractional double integrals
url http://dx.doi.org/10.1155/2022/5815993
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AT muhammaduzairawan inclusionsinvolvingintervalvaluedharmonicallycoordinatedconvexfunctionsandrainasfractionaldoubleintegrals
AT muhammadzakriajaved inclusionsinvolvingintervalvaluedharmonicallycoordinatedconvexfunctionsandrainasfractionaldoubleintegrals
AT huseyinbudak inclusionsinvolvingintervalvaluedharmonicallycoordinatedconvexfunctionsandrainasfractionaldoubleintegrals
AT awaisgulkhan inclusionsinvolvingintervalvaluedharmonicallycoordinatedconvexfunctionsandrainasfractionaldoubleintegrals
AT muhammadaslamnoor inclusionsinvolvingintervalvaluedharmonicallycoordinatedconvexfunctionsandrainasfractionaldoubleintegrals