Refinements Jensen's Inequality and Some Their Applications
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Tarih
2024
Yazarlar
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