Weighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functions

Abstract In this paper, we establish some Hermite–Hadamard–Fejér type inclusions for the product of two co-ordinated convex interval-valued functions. These inclusions are generalizations of some results given in earlier works.

Bibliographic Details
Main Authors: Hasan Kara, Hüseyin Budak, Muhammad Aamir Ali, Mehmet Zeki Sarikaya, Yu-Ming Chu
Format: Article
Language:English
Published: SpringerOpen 2021-02-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-021-03261-8
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spelling doaj-86da4dd9aa7242a7951c92b601f3fa682021-02-14T12:43:38ZengSpringerOpenAdvances in Difference Equations1687-18472021-02-012021111610.1186/s13662-021-03261-8Weighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functionsHasan Kara0Hüseyin Budak1Muhammad Aamir Ali2Mehmet Zeki Sarikaya3Yu-Ming Chu4Department of Mathematics, Faculty of Science and Arts, Düzce UniversityDepartment of Mathematics, Faculty of Science and Arts, Düzce UniversityJiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal UniversityDepartment of Mathematics, Faculty of Science and Arts, Düzce UniversityDepartment of Mathematics, Huzhou UniversityAbstract In this paper, we establish some Hermite–Hadamard–Fejér type inclusions for the product of two co-ordinated convex interval-valued functions. These inclusions are generalizations of some results given in earlier works.https://doi.org/10.1186/s13662-021-03261-8Hermite–Hadamard inclusionsConvex interval-valued functionsCo-ordinated convex interval-valued functions
collection DOAJ
language English
format Article
sources DOAJ
author Hasan Kara
Hüseyin Budak
Muhammad Aamir Ali
Mehmet Zeki Sarikaya
Yu-Ming Chu
spellingShingle Hasan Kara
Hüseyin Budak
Muhammad Aamir Ali
Mehmet Zeki Sarikaya
Yu-Ming Chu
Weighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functions
Advances in Difference Equations
Hermite–Hadamard inclusions
Convex interval-valued functions
Co-ordinated convex interval-valued functions
author_facet Hasan Kara
Hüseyin Budak
Muhammad Aamir Ali
Mehmet Zeki Sarikaya
Yu-Ming Chu
author_sort Hasan Kara
title Weighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functions
title_short Weighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functions
title_full Weighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functions
title_fullStr Weighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functions
title_full_unstemmed Weighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functions
title_sort weighted hermite–hadamard type inclusions for products of co-ordinated convex interval-valued functions
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2021-02-01
description Abstract In this paper, we establish some Hermite–Hadamard–Fejér type inclusions for the product of two co-ordinated convex interval-valued functions. These inclusions are generalizations of some results given in earlier works.
topic Hermite–Hadamard inclusions
Convex interval-valued functions
Co-ordinated convex interval-valued functions
url https://doi.org/10.1186/s13662-021-03261-8
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AT muhammadaamirali weightedhermitehadamardtypeinclusionsforproductsofcoordinatedconvexintervalvaluedfunctions
AT mehmetzekisarikaya weightedhermitehadamardtypeinclusionsforproductsofcoordinatedconvexintervalvaluedfunctions
AT yumingchu weightedhermitehadamardtypeinclusionsforproductsofcoordinatedconvexintervalvaluedfunctions
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