A new class of numerical sequences and its applications to sine and cosine series

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53 Citations (Scopus)

Abstract

First, it is proved that the class of classical quasi-monotone sequences is not comparable to the newly defined class of sequences of "rest bounded variation". Considering this result, we prove three sample theorems for sequences of rest bounded variation, being analogues of the theorems proved earlier for monotone or quasi-monotone sequences. One of them gives a partial answer to a question raised by R. P. Boas Jr.

Original languageEnglish
Pages (from-to)279-286
Number of pages8
JournalAnalysis Mathematica
Volume28
Issue number4
DOIs
Publication statusPublished - Jan 1 2002

ASJC Scopus subject areas

  • Mathematics(all)

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