Jensen m-Convexity on Set-Valued Function

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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Bibliographic Details
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:
jensen m-convex
jensen-type inclusion
jensen m-convex set
set-valued function
Online Access:https://ejournal.uin-malang.ac.id/index.php/Math/article/view/26901
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Summary: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.
ISSN:2086-0382
2477-3344

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