Path continuity connected with the notion of density

Kowalczyk, Stanisław; Nowakowska, Katarzyna

dc.contributor.author	Kowalczyk, Stanisław
dc.contributor.author	Nowakowska, Katarzyna
dc.contributor.editor	Filipczak, Małgorzata
dc.contributor.editor	Wagner-Bojakowska, Elżbieta
dc.date.accessioned	2019-05-28T11:27:04Z
dc.date.available	2019-05-28T11:27:04Z
dc.date.issued	2013
dc.identifier.citation	Kowalczyk S., Nowakowska K., Path continuity connected with the notion of density, [w:] Traditional and present-day topics in real analysis. Dedicated to Professor Jan Stanisław Lipiński, Filipczak M., Wagner-Bojakowska E. (red.), Wydawnictwo Uniwersytetu Łódzkiego, Łódź 2013, s. 449-471, doi: 10.18778/7525-971-1.26	pl_PL
dc.identifier.isbn	978-83-7525-971-1
dc.identifier.uri	http://hdl.handle.net/11089/28720
dc.description.sponsorship	Udostępnienie publikacji Wydawnictwa Uniwersytetu Łódzkiego finansowane w ramach projektu „Doskonałość naukowa kluczem do doskonałości kształcenia”. Projekt realizowany jest ze środków Europejskiego Funduszu Społecznego w ramach Programu Operacyjnego Wiedza Edukacja Rozwój; nr umowy: POWER.03.05.00-00-Z092/17-00.	pl_PL
dc.language.iso	en	pl_PL
dc.publisher	Wydawnictwo Uniwersytetu Łódzkiego	pl_PL
dc.relation.ispartof	Filipczak M., Wagner-Bojakowska E. (red.), Traditional and present-day topics in real analysis. Dedicated to Professor Jan Stanisław Lipiński, Wydawnictwo Uniwersytetu Łódzkiego, Łódź 2013;
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Międzynarodowe	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	density of a set at a point	pl_PL
dc.subject	lower density	pl_PL
dc.subject	upper density	pl_PL
dc.subject	continuous functions	pl_PL
dc.subject	approximately continuous functions	pl_PL
dc.subject	path continuity	pl_PL
dc.title	Path continuity connected with the notion of density	pl_PL
dc.type	Book chapter	pl_PL
dc.page.number	449-471	pl_PL
dc.contributor.authorAffiliation	Pomeranian Academy, Institute of Mathematics	pl_PL
dc.references	A. Alikhani, Borel measurability of extreme path derivatieves, Real Anal. Exchange 12 (1986-87), 216-246.	pl_PL
dc.references	K. Banaszewski, Funkcje ciągłe względem systemu ścieżek, Doctoral Thesis, Łódź, 1995.	pl_PL
dc.references	A. M. Bruckner, Differentiation of Real Functions, Lecture Notes in Mathematics, Vol. 659, Springer-Verlag Berlin Heidelberg New York, 1978.	pl_PL
dc.references	A. M. Bruckner, R. J. O’Malley, B. S. Thomson, Path Derivatives: A Unified View of Certain Generalized Derivatives, Trans. Amer. Math. Soc. 283 (1984), 97–125.	pl_PL
dc.references	J. Jędrzejewski, On limit numbers of real functions, Fund. Math. 83(3) (1973/74), 269–281.	pl_PL
dc.references	A. Karasińska, E. Wagner-Bojakowska, Some remarks on ρ-upper density, Tatra Mt. Math. Publ. 46 (2010), 85–89.	pl_PL
dc.references	S. Kowalczyk, K. Nowakowska, A note on ρ-upper continuous functions, Tatra Mt. Math. Publ. 44 (2009), 153–158.	pl_PL
dc.references	S. Kowalczyk, K. Nowakowska, Maximal classes for the family of [λ,ρ]-continuous functions, Real Anal. Exchange 36 (2010-11), 307–324.	pl_PL
dc.references	S. Kowalczyk, K. Nowakowska, Maximal classes for ρ-upper continuous functions, Journal of Applied Analysis 19 (2013), 69—89.	pl_PL
dc.references	M. Marciniak, R. Pawlak, On the restrictions of functions. Finitely continuous functions and path continuity, Tatra Mt. Math. Publ. 24 (2002), 65–77.	pl_PL
dc.references	M. Marciniak, On path continuity, Real Anal. Exchange 29(1) (2003-2004), 247–255.	pl_PL
dc.references	J. Masterson, A nonstandard result about path continuity, Acta Math. Hungar. 59, Issue 1-2, 1992, 147–149.	pl_PL
dc.references	K. Nowakowska, On the family of [Λ,ρ]-continuous functions, Tatra Mt. Math. Publ. 44 (2009), 129–138.	pl_PL
dc.references	F. D. Tall, The density topology, Pacific Journal of Mathematics 62(1) (1976), 275–284.	pl_PL
dc.references	B. S. Thomson, Real Functions, Lecture Notes in Mathematics, Vol. 1170, Springer-Verlag Berlin Heidelberg New York, 1985.	pl_PL
dc.references	W. Wilczyński, Density topologies, Handbook of Measure Theory, chapter 15, Elsevier 2012, 307–324.	pl_PL
dc.contributor.authorEmail	stkowalcz@onet.eu	pl_PL
dc.contributor.authorEmail	nowakowska_k@go2.pl	pl_PL
dc.identifier.doi	10.18778/7525-971-1.26
dc.subject.msc	26A15
dc.subject.msc	54C30