Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions-Reference-Cited by-同舟云学术

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

Published:2021-01-01 Issue:1 Volume:19 Page:1081-1097
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Budak Huseyin¹,Kara Hasan¹,Ali Muhammad Aamir²,Khan Sundas³,Chu Yuming⁴

Affiliation:

1. Department of Mathematics, Faculty of Science and Arts, Düzce University , Düzce , Turkey

2. Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University , Nanjing , 210023 , China

3. Department of Mathematics, GC Women University , Sialkot , Pakistan

4. Institute for Advanced Study Honoring Chen Jian Gong, Hangzhou Normal University , Hangzhou 311121 , China

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0067/pdf

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