On some new developments of Hardy-type inequalities

Shoshana Abramovich; Lars Erik Persson; Natasha Samko

doi:10.1063/1.4765570

On some new developments of Hardy-type inequalities

Shoshana Abramovich, Lars Erik Persson, Natasha Samko

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper we present and discuss some new developments of Hardy-type inequalities, namely to derive (a) Hardy-type inequalities via a convexity approach, (b) refined scales of Hardy-type inequalities with other "breaking points" than p = 1 via superquadratic and superterzatic functions, (c) scales of conditions to characterize modern forms of weighted Hardy-type inequalities.

Original language	English
Title of host publication	9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012
Pages	739-746
Number of pages	8
DOIs	https://doi.org/10.1063/1.4765570
State	Published - 2012
Event	9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012 - Vienna, Austria Duration: 10 Jul 2012 → 14 Jul 2012

Publication series

Name	AIP Conference Proceedings
Volume	1493
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012
Country/Territory	Austria
City	Vienna
Period	10/07/12 → 14/07/12

Keywords

Hardy-type inequalities
Inequalities
best constants
convexity
scales of conditions to characterize Hardy-type inequalities
scales of refined Hardy-type inequalities
superquadratic functions
superterzatic functions

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1063/1.4765570

Cite this

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title = "On some new developments of Hardy-type inequalities",

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keywords = "Hardy-type inequalities, Inequalities, best constants, convexity, scales of conditions to characterize Hardy-type inequalities, scales of refined Hardy-type inequalities, superquadratic functions, superterzatic functions",

author = "Shoshana Abramovich and Persson, {Lars Erik} and Natasha Samko",

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doi = "10.1063/1.4765570",

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Abramovich, S, Persson, LE & Samko, N 2012, On some new developments of Hardy-type inequalities. in 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012. AIP Conference Proceedings, vol. 1493, pp. 739-746, 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012, Vienna, Austria, 10/07/12. https://doi.org/10.1063/1.4765570

On some new developments of Hardy-type inequalities. / Abramovich, Shoshana; Persson, Lars Erik; Samko, Natasha.
9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012. 2012. p. 739-746 (AIP Conference Proceedings; Vol. 1493).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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KW - Hardy-type inequalities

KW - Inequalities

KW - best constants

KW - convexity

KW - scales of conditions to characterize Hardy-type inequalities

KW - scales of refined Hardy-type inequalities

KW - superquadratic functions

KW - superterzatic functions

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On some new developments of Hardy-type inequalities

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

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