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Butt, Saad Ihsan; Krnić, Mario; Pečarić, Josip

Superadditivity, monotonicity, and exponential convexity of the Petrović-type functionals. (English) Zbl 1245.26012

Abstr. Appl. Anal. 2012, Article ID 123913, 21 p. (2012).
Summary: We consider functionals derived from Petrović-type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real \(n\)-tuples. By virtue of established results we also define some related functionals and investigate their properties regarding exponential convexity. Finally, the general results are then applied to some particular settings.

MSC:

26D20 Other analytical inequalities

Keywords:

Petrović-type inequality; exponential convexity
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References:

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