Characterization of the hardy property of means and the best hardy constants

Z. Páles, Pawel Pasteczka

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The aim of this paper is to characterize in broad classes of means the so-called Hardy means, i.e., those means M: U n=1Rn + →R+ that satisfy the inequality for all positive sequences (xn) with some finite positive constant C. One of the main results offers a characterization of Hardy means in the class of symmetric, increasing, Jensen concave and repetition invariant means and also a formula for the best constant C satisfying the above inequality.

Original languageEnglish
Pages (from-to)1141-1158
Number of pages18
JournalMathematical Inequalities and Applications
Volume19
Issue number4
DOIs
Publication statusPublished - Oct 1 2016

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Invariant Mean
Best Constants
Class
Repetition

Keywords

  • Gaussian product of means
  • Gini mean
  • Hardy constant
  • Hardy inequality
  • Hardy mean
  • Kedlaya mean
  • Mean
  • Quasi-Arithmetic mean

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Characterization of the hardy property of means and the best hardy constants. / Páles, Z.; Pasteczka, Pawel.

In: Mathematical Inequalities and Applications, Vol. 19, No. 4, 01.10.2016, p. 1141-1158.

Research output: Contribution to journalArticle

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