On some new developments of Hardy-type inequalities

Shoshana Abramovich, Lars Erik Persson, Natasha Samko

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-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 languageEnglish
Title of host publication9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012
Pages739-746
Number of pages8
DOIs
StatePublished - 2012
Event9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012 - Vienna, Austria
Duration: 10 Jul 201214 Jul 2012

Publication series

NameAIP Conference Proceedings
Volume1493
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2012
Country/TerritoryAustria
CityVienna
Period10/07/1214/07/12

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy (all)

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