Necessary and sufficient conditions for joint lower and upper estimates

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Abstract

Necessary and sufficient conditions are given for joint lower and upper estimates of the following sums σm1 γn n-1 and σm γnn-1. An application of the results yields necessary and sufficient conditions for a pleasant and useful lemma of Sagher.

Original languageEnglish
Article number11
JournalJournal of Inequalities in Pure and Applied Mathematics
Volume10
Issue number1
Publication statusPublished - 2009

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Necessary Conditions
Sufficient Conditions
Estimate
Lemma

Keywords

  • Inequalities
  • Power-monotonicity
  • Sequences And series

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

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abstract = "Necessary and sufficient conditions are given for joint lower and upper estimates of the following sums σm1 γn n-1 and σ∞m γnn-1. An application of the results yields necessary and sufficient conditions for a pleasant and useful lemma of Sagher.",
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