Rearrangements of bounded variation sequences
type: Item
instance of: scholarly article
title: Rearrangements of bounded variation sequences
zbMATH Open document ID: 0814.46006
DOI: 10.1007/BF02863416
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1994-08-14T00:00:00Z
review text: Let \(p\) be a permutation of \(N\), the set of all positive integers. Then \(p\) is said to be bounded variation preserving (BVP) if the rearrangement induced by \(p\), \(a_ p= (a_{p(k)})\), is of bounded variation for all \(a= (a_ k)\in \text{BV}\). In this paper the author has established a necessary and sufficient condition for \(p\) to be BVP which is deduced from a result of \textit{F. M. Mears} [Duke Math. J. 13, 579-585 (1946)].
Mathematics Subject Classification ID: 46A45
Mathematics Subject Classification ID: 40H05
zbMATH DE Number: 618129
zbMATH Keywords: bounded variation preserving
zbMATH Keywords: rearrangement
author: Mehmet Ali Sarıgöl
reviewed by: Indulata Sukla
MaRDI profile type: Publication
cites work: Permutations Preserving Convergence of Series
cites work: Q5559387
cites work: Rearrangement of convergent series
cites work: Rearrangements that Preserve Convergence
cites work: Q5751332
cites work: Q3211760
cites work: Q4847798
cites work: Sum-Preserving Rearrangements of Infinite Series
full work available at URL: https://doi.org/10.1007/bf02863416
OpenAlex ID: W2045633417
Recommended article: Q5402857
Recommended article: Q3356879
Recommended article: Q5748655
Recommended article: Q3448494
Recommended article: On rearrangement inequalities for multiple sequences
Recommended article: Q3744245
Recommended article: A general rearrangement theorem for sequences
Recommended article: Bounded variation in binary sequences
Recommended article: Functions of bounded variation and rearrangements
Recommended article: On the rearrangements of numerical sequences
description: scientific article; zbMATH DE number 618129