Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions

In this work, we introduce the notions about the Riemann-Liouville fractional integrals for interval-valued functions on co-ordinates. We also establish Hermite-Hadamard and some related inequalities for co-ordinated convex interval-valued functions by applying the newly defined fractional integrals...

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Bibliographic Details
Published inOpen mathematics (Warsaw, Poland) Vol. 19; no. 1; pp. 1081 - 1097
Main Authors Budak, Huseyin, Kara, Hasan, Ali, Muhammad Aamir, Khan, Sundas, Chu, Yuming
Format Journal Article
LanguageEnglish
Published Warsaw De Gruyter 21.09.2021
De Gruyter Poland
Subjects
26A51
26D10
26D15
Fractional calculus
fractional integrals
Hermite-Hadamard inequality
Inequalities
Integrals
interval-valued functions
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Summary:In this work, we introduce the notions about the Riemann-Liouville fractional integrals for interval-valued functions on co-ordinates. We also establish Hermite-Hadamard and some related inequalities for co-ordinated convex interval-valued functions by applying the newly defined fractional integrals. The results of the present paper are the extension of several previously published results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2021-0067