Jensen-Type Inequalities, Montgomery Identity and Higher-Order Convexity

Motivated by some recent results known from the literature, in this paper, we establish a class of Jensen-type inequalities referring to functions of an even degree of convexity. The main idea of proving our results is a transformation of the classical Jensen functional via the Montgomery identity w...

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Veröffentlicht in:	Mediterranean journal of mathematics 2022-10, Vol.19 (5), Article 230
Hauptverfasser:	Bošnjak, Marija, Krnić, Mario, Pečarić, Josip
Format:	Artikel
Sprache:	eng
Schlagworte:	Convexity Inequalities Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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