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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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
Online AccessGet full text
ISSN2391-5455
2391-5455
DOI10.1515/math-2021-0067

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Abstract 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.
AbstractList 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.
Author Chu, Yuming
Khan, Sundas
Budak, Huseyin
Ali, Muhammad Aamir
Kara, Hasan
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  givenname: Hasan
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  givenname: Muhammad Aamir
  surname: Ali
  fullname: Ali, Muhammad Aamir
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  givenname: Sundas
  surname: Khan
  fullname: Khan, Sundas
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  organization: Department of Mathematics, GC Women University, Sialkot, Pakistan
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  givenname: Yuming
  surname: Chu
  fullname: Chu, Yuming
  email: chuyuming2005@126.com
  organization: Institute for Advanced Study Honoring Chen Jian Gong, Hangzhou Normal University, Hangzhou 311121, China
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SubjectTerms 26A51
26D10
26D15
Fractional calculus
fractional integrals
Hermite-Hadamard inequality
Inequalities
Integrals
interval-valued functions
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Title Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions
URI https://www.degruyter.com/doi/10.1515/math-2021-0067
https://www.proquest.com/docview/2619224961
https://doaj.org/article/23822766db9042ce9a1b0f08eb106e56
Volume 19
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