General inequalities VIA isotonic subadditive functionals

S. Abramovich; L. E. Persson; J. Pečarić; S. Varošanec

doi:10.7153/mia-10-03

General inequalities VIA isotonic subadditive functionals

S. Abramovich, L. E. Persson, J. Pečarić, S. Varošanec

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this manuscript a number of general inequalities for isotonic subadditive functionals on a set of positive mappings are proved and applied. In particular, it is pointed out that these inequalities both unify and generalize some general forms of the Hölder, Popoviciu, Minkowski, Bellman and Power mean inequalities. Also some refinements of some of these results are proved.

Original language	English
Pages (from-to)	15-28
Number of pages	14
Journal	Mathematical Inequalities and Applications
Volume	10
Issue number	1
DOIs	https://doi.org/10.7153/mia-10-03
State	Published - Jan 2007

Keywords

Banach function spaces
Bellman
Holder
Inequalities
Interpolation
Isotonic
K-functional
Lebesgue spaces
Lorentz spaces
Minkowski
Orlicz spaces
Popoviciu
Power mean inequality
Sharpening of inequalities
Subadditive functional

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.7153/mia-10-03

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abstract = "In this manuscript a number of general inequalities for isotonic subadditive functionals on a set of positive mappings are proved and applied. In particular, it is pointed out that these inequalities both unify and generalize some general forms of the H{\"o}lder, Popoviciu, Minkowski, Bellman and Power mean inequalities. Also some refinements of some of these results are proved.",

keywords = "Banach function spaces, Bellman, Holder, Inequalities, Interpolation, Isotonic, K-functional, Lebesgue spaces, Lorentz spaces, Minkowski, Orlicz spaces, Popoviciu, Power mean inequality, Sharpening of inequalities, Subadditive functional",

author = "S. Abramovich and Persson, {L. E.} and J. Pe{\v c}ari{\'c} and S. Varo{\v s}anec",

year = "2007",

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doi = "10.7153/mia-10-03",

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T1 - General inequalities VIA isotonic subadditive functionals

AU - Abramovich, S.

AU - Persson, L. E.

AU - Pečarić, J.

AU - Varošanec, S.

PY - 2007/1

Y1 - 2007/1

N2 - In this manuscript a number of general inequalities for isotonic subadditive functionals on a set of positive mappings are proved and applied. In particular, it is pointed out that these inequalities both unify and generalize some general forms of the Hölder, Popoviciu, Minkowski, Bellman and Power mean inequalities. Also some refinements of some of these results are proved.

AB - In this manuscript a number of general inequalities for isotonic subadditive functionals on a set of positive mappings are proved and applied. In particular, it is pointed out that these inequalities both unify and generalize some general forms of the Hölder, Popoviciu, Minkowski, Bellman and Power mean inequalities. Also some refinements of some of these results are proved.

KW - Banach function spaces

KW - Bellman

KW - Holder

KW - Inequalities

KW - Interpolation

KW - Isotonic

KW - K-functional

KW - Lebesgue spaces

KW - Lorentz spaces

KW - Minkowski

KW - Orlicz spaces

KW - Popoviciu

KW - Power mean inequality

KW - Sharpening of inequalities

KW - Subadditive functional

UR - http://www.scopus.com/inward/record.url?scp=33846864178&partnerID=8YFLogxK

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DO - 10.7153/mia-10-03

M3 - Article

AN - SCOPUS:33846864178

SN - 1331-4343

VL - 10

SP - 15

EP - 28

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 1

ER -

General inequalities VIA isotonic subadditive functionals

Abstract

Keywords

ASJC Scopus subject areas

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