Jensen m-Convexity on Set-Valued Function

This paper discusses the class of Jensen m-convex functions and their properties, leading to enhancements of these functions and Jensen's inequalities for set-valued functions. It provides several characterizations and explores various algebraic properties. Additionally, it introduces a discret...

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Main Authors: Eko Dedi Pramana, Ratno Bagus Edy Wibowo, Mohamad Muslikh
Format: Article
Language:English
Published: Mathematics Department UIN Maulana Malik Ibrahim Malang 2024-10-01
Series:Cauchy: Jurnal Matematika Murni dan Aplikasi
Subjects:
Online Access:https://ejournal.uin-malang.ac.id/index.php/Math/article/view/26901
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author Eko Dedi Pramana
Ratno Bagus Edy Wibowo
Mohamad Muslikh
author_facet Eko Dedi Pramana
Ratno Bagus Edy Wibowo
Mohamad Muslikh
author_sort Eko Dedi Pramana
collection DOAJ
description This paper discusses the class of Jensen m-convex functions and their properties, leading to enhancements of these functions and Jensen's inequalities for set-valued functions. It provides several characterizations and explores various algebraic properties. Additionally, it introduces a discrete Jensen-type inclusion.
format Article
id doaj-art-67b2ab3886754d4e9cc27399708f9cac
institution OA Journals
issn 2086-0382
2477-3344
language English
publishDate 2024-10-01
publisher Mathematics Department UIN Maulana Malik Ibrahim Malang
record_format Article
series Cauchy: Jurnal Matematika Murni dan Aplikasi
spelling doaj-art-67b2ab3886754d4e9cc27399708f9cac2025-08-20T02:13:45ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442024-10-019221222110.18860/ca.v9i2.269018251Jensen m-Convexity on Set-Valued FunctionEko Dedi Pramana0Ratno Bagus Edy Wibowo1Mohamad Muslikh2Universitas BrawijayaUniversitas BrawijayaUniversitas BrawijayaThis paper discusses the class of Jensen m-convex functions and their properties, leading to enhancements of these functions and Jensen's inequalities for set-valued functions. It provides several characterizations and explores various algebraic properties. Additionally, it introduces a discrete Jensen-type inclusion.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/26901jensen m-convexjensen-type inclusionjensen m-convex setset-valued function
spellingShingle Eko Dedi Pramana
Ratno Bagus Edy Wibowo
Mohamad Muslikh
Jensen m-Convexity on Set-Valued Function
Cauchy: Jurnal Matematika Murni dan Aplikasi
jensen m-convex
jensen-type inclusion
jensen m-convex set
set-valued function
title Jensen m-Convexity on Set-Valued Function
title_full Jensen m-Convexity on Set-Valued Function
title_fullStr Jensen m-Convexity on Set-Valued Function
title_full_unstemmed Jensen m-Convexity on Set-Valued Function
title_short Jensen m-Convexity on Set-Valued Function
title_sort jensen m convexity on set valued function
topic jensen m-convex
jensen-type inclusion
jensen m-convex set
set-valued function
url https://ejournal.uin-malang.ac.id/index.php/Math/article/view/26901
work_keys_str_mv AT ekodedipramana jensenmconvexityonsetvaluedfunction
AT ratnobagusedywibowo jensenmconvexityonsetvaluedfunction
AT mohamadmuslikh jensenmconvexityonsetvaluedfunction