Cantor function: Difference between revisions

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==References==

* {{cite book|ref=harv|first1=Richard Franklin|last1=Bass|author1-link=Richard F. Bass|title=Real analysis for graduate students|year=2013|origyear=2011|edition=Second|publisher=Createspace Independent Publishing|isbn=978-1-4818-6914-0}}

*{{citationcite journal |first last=Cantor G.|last first=G. Cantor| title= De la puissance des ensembles parfaits de points: Extrait d’une lettre adressée à l’éditeur | journal= Acta Math.Mathematica |volume publisher=International Press of Boston | volume=4 | issue=0 | year=1884 |pages issn=0001-5962 381–392| doi=10.1007/BF02418423bf02418423 | pages=381–392 |trans-title=The power of perfect sets of points: Extract from a letter addressed to the editor}} Reprinted in: E. Zermelo (Ed.), Gesammelte Abhandlungen Mathematischen und Philosophischen Inhalts, Springer, New York, 1980.

*{{citation|mr=2681574

|last=Darst|first= Richard B.|last2= Palagallo|first2= Judith A.|last3= Price|first3= Thomas E.

|title=Curious curves|publisher= World Scientific Publishing Co. Pte. Ltd.|place= Hackensack, NJ |year=2010|isbn= 978-981-4291-28-6}}

*{{cite journal | last=Dovgoshey | first=O. | last2=Martio | first2=O. | last3=Ryazanov | first3=V. | last4=Vuorinen | first4=M. | title=The Cantor function | journal=Expositiones Mathematicae | publisher=Elsevier BV | volume=24 | issue=1 | year=2006 | issn=0723-0869 | doi=10.1016/j.exmath.2005.05.002 | pages=1–37 |mr=2195181 |url=http://users.utu.fi/vuorinen/REA12/107.pdf}}

*{{citation

*{{cite journal | last=Fleron | first=Julian F. | title=A Note on the History of the Cantor Set and Cantor Function | journal=Mathematics Magazine | publisher=Informa UK Limited | volume=67 | issue=2 | date=1994-04-01 | issn=0025-570X | doi=10.2307/2690689 | page=136–140|jstor=2690689}}

|mr=2195181

*{{citation|first=H.|last= Lebesgue |title=Leçons sur l’intégration et la recherche des fonctions primitives|place= Paris|publisher= Gauthier-Villars|year= 1904 |trans-title=Lessons on integration and search for primitive functions}}

|last=Dovgoshey

*{{cite book | last=Leoni | first=Giovanni | title=A first course in Sobolev spaces | publisher=American Mathematical Society | publication-place=Providence, Rhode Island | year=2017 | isbn=978-1-4704-2921-8 | oclc=976406106 | page=734 |edition=2nd |url=http://bookstore.ams.org/gsm-181/ |volume=181}}

|first=O.

*{{cite journal | last=Scheeffer | first=Ludwig | title=Allgemeine Untersuchungen über Rectification der Curven | journal=Acta Mathematica | publisher=International Press of Boston | volume=5 | issue=0 | year=1884 | issn=0001-5962 | doi=10.1007/bf02421552 | pages=49–82 |trans-title=General investigations on rectification of the curves}}

|last2=Martio

|first2=O.

|last3=Ryazanov

|first3=V.

|last4=Vuorinen

|first4=M.

|title=The Cantor function

|journal=Expo. Math.

|volume=24

|year=2006

|issue=1

|pages=1–37

|url=http://users.utu.fi/vuorinen/REA12/107.pdf

|doi=10.1016/j.exmath.2005.05.002

}}{{dead link|date=November 2016 |bot=InternetArchiveBot |fix-attempted=yes }}

*{{citation|first=J.F.|last= Fleron|title= A note on the history of the Cantor set and Cantor function|journal= Math. Mag.|volume= 67 |year=1994|pages= 136–140|jstor=2690689}}

*{{citation|first=H.|last= Lebesgue |title=Leçons sur l’intégration et la recherche des fonctions primitives|place= Paris|publisher= Gauthier-Villars|year= 1904}}

*Leoni, Giovanni (2017). ''[http://bookstore.ams.org/gsm-181/ A First Course in Sobolev Spaces: Second Edition]''. [[Graduate Studies in Mathematics]]. '''181'''. American Mathematical Society. pp. 734. '''{{ISBN|978-1-4704-2921-8}}'''

*{{citation|first=Ludwig|last= Scheeffer|title= Allgemeine Untersuchungen über Rectification der Curven|journal= Acta Math.|volume= 5 |year=1884|pages= 49–82|doi=10.1007/BF02421552}}

* {{cite book|ref=harv|last1=Thomson|first1=Brian S.|last2=Bruckner|first2=Judith B.|last3=Bruckner|first3=Andrew M.|title=Elementary real analysis|publisher=ClassicalRealAnalysis.com|edition=Second|year=2008|origyear=2001|isbn=978-1-4348-4367-8}}

*{{cite book|ref=harv|title=The theory of measures and integration|last=Vestrup|first=E.M.|series=Wiley series in probability and statistics|publisher=John Wiley & sons|year=2003|isbn=978-0471249771}}

*{{citation|first=A.|last= Vitali|title=Sulle funzioni integrali|journal=Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur.|volume= 40 |year=1905 |pages= 1021–1034 |trans-title=On the integral functions}}

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