New Improvements of the Jensen–Mercer Inequality for Strongly Convex Functions with Applications

In this paper, we use the generalized version of convex functions, known as strongly convex functions, to derive improvements to the Jensen–Mercer inequality. We achieve these improvements through the newly discovered characterizations of strongly convex functions, along with some previously known r...

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Vydáno v:	Axioms Ročník 13; číslo 8; s. 553
Hlavní autoři:	Adil Khan, Muhammad, Ivelić Bradanović, Slavica, Mahmoud, Haitham Abbas
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Basel MDPI AG 01.08.2024
Témata:	Convex analysis convex and strongly convex functions Convex functions Inequalities (Mathematics) Inequality Information theory Jensen inequality Jensen–Mercer inequality Mathematical optimization strong f-divergences Pakistan
ISSN:	2075-1680, 2075-1680
On-line přístup:	Získat plný text
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