Superadditivity and subadditivity of some functionals with applications to inequalities

The superadditivity and subadditivity properties of certain composite functionals are investigated. Applications in refining Jensen's, Hölder's, Minkowski's and Schwarz's inequalities are given.

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Bibliographic Details
Published in:Carpathian Journal of Mathematics 2014-01, Vol.30 (1), p.71-78
Main Author: Dragomir, S. S.
Format: Article
Language:English
Subjects:
Applied mathematics
Inner products
Mathematical functions
Mathematical inequalities
Mathematical theorems
Nonlinearity
Online Access:Get full text
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Description
Summary:The superadditivity and subadditivity properties of certain composite functionals are investigated. Applications in refining Jensen's, Hölder's, Minkowski's and Schwarz's inequalities are given.
ISSN:1584-2851
1843-4401
DOI:10.37193/CJM.2014.01.10