Generating sequences of functions

James David Mitchell; Yann Peresse; Martyn Quick

doi:10.1093/qmath/hal011

Generating sequences of functions

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the problem of obtaining an arbitrary countable collection of functions with specific properties as a composition of finitely many functions with the same property. The functions investigated are continuous, Baire-n, Lebesgue or Borel measurable, increasing, and differentiable functions on [0, 1], and increasing functions on N.

Original language	English
Pages (from-to)	71-79
Number of pages	9
Journal	Quarterly Journal of Mathematics
Volume	58
Issue number	1
DOIs	https://doi.org/10.1093/qmath/hal011
Publication status	Published - Mar 2007

Access to Document

10.1093/qmath/hal011

Handle.net

Persistent link

Cite this

@article{36e3dc99beda44bb92a484b39abc3fee,

title = "Generating sequences of functions",

abstract = "We consider the problem of obtaining an arbitrary countable collection of functions with specific properties as a composition of finitely many functions with the same property. The functions investigated are continuous, Baire-n, Lebesgue or Borel measurable, increasing, and differentiable functions on [0, 1], and increasing functions on N.",

author = "Mitchell, \{James David\} and Yann Peresse and Martyn Quick",

note = "June 2006",

year = "2007",

month = mar,

doi = "10.1093/qmath/hal011",

language = "English",

volume = "58",

pages = "71--79",

journal = "Quarterly Journal of Mathematics",

issn = "0033-5606",

publisher = "Oxford University Press",

number = "1",

}

TY - JOUR

T1 - Generating sequences of functions

AU - Mitchell, James David

AU - Peresse, Yann

AU - Quick, Martyn

N1 - June 2006

PY - 2007/3

Y1 - 2007/3

N2 - We consider the problem of obtaining an arbitrary countable collection of functions with specific properties as a composition of finitely many functions with the same property. The functions investigated are continuous, Baire-n, Lebesgue or Borel measurable, increasing, and differentiable functions on [0, 1], and increasing functions on N.

AB - We consider the problem of obtaining an arbitrary countable collection of functions with specific properties as a composition of finitely many functions with the same property. The functions investigated are continuous, Baire-n, Lebesgue or Borel measurable, increasing, and differentiable functions on [0, 1], and increasing functions on N.

UR - https://www.scopus.com/pages/publications/34548390230

UR - http://qjmath.oxfordjournals.org/cgi/content/abstract/hal011v1?maxtoshow=&HITS=10&hits=10&RESULTFORMAT=&fulltext=mitchell&searchid=1&FIRSTINDEX=0&resourcetype=HWCIT&eaf

U2 - 10.1093/qmath/hal011

DO - 10.1093/qmath/hal011

M3 - Article

SN - 0033-5606

VL - 58

SP - 71

EP - 79

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

IS - 1

ER -

Generating sequences of functions

Abstract

Access to Document

Handle.net

Other files and links

Fingerprint

Cite this