The sharper version for generalized power mean inequalities with negative exponent
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Element D.O.O.
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, the generalized power mean inequalities with a negative parameter are refined using an optimality theorem on the generator function. The optimality theorem requires the study of different cases for the exponents and yields a refinement of the inequality in a neighbourhood of the vectors for which the equality occurs. Then, these local inequalities are generalized to all positive vectors by an appropriate selection of parameters. Also, some of the results are exemplified by numerical calculations.
Açıklama
Anahtar Kelimeler
Abstract Convexity, Functional Inequalities, Generalized Power Mean, Global Optimization
Kaynak
Journal of Mathematical Inequalities
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
17
Sayı
1
