Refinements Jensen's Inequality and Some Their Applications

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Tarih

2024

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Mehmet Zeki SARIKAYA

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This paper aims to present a new refinement of the Jensen inequality specifically for convex functions. Building on this refinement, the paper derives various related inequalities, with a particular focus on Bullen's inequality and Ostrowski's inequality. Furthermore, it explores practical applications of these derived inequalities in the context of mean inequalities, providing a deeper understanding and broader utility of these mathematical concepts.

Açıklama

Anahtar Kelimeler

Convex function|Bullen inequality|Jensen inequality|Ostrowski inequality and Special means

Kaynak

Konuralp Journal of Mathematics

WoS Q Değeri

Scopus Q Değeri

Cilt

12

Sayı

2

Künye