Stability Aspects of the Jensen-Hosszú Equation

Kominek, Zygfryd

dc.contributor.author	Kominek, Zygfryd
dc.contributor.editor	Filipczak, Małgorzata
dc.contributor.editor	Wagner-Bojakowska, Elżbieta
dc.date.accessioned	2019-05-28T10:06:59Z
dc.date.available	2019-05-28T10:06:59Z
dc.date.issued	2013
dc.identifier.citation	Kominek Z., Stability Aspects of the Jensen-Hosszú Equation, [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. 307-324, doi: 10.18778/7525-971-1.19	pl_PL
dc.identifier.isbn	978-83-7525-971-1
dc.identifier.uri	http://hdl.handle.net/11089/28704
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	general solutions of functional equations	pl_PL
dc.subject	Jensen and Hosszú functional equations	pl_PL
dc.subject	Hyers-Ulam stability	pl_PL
dc.title	Stability Aspects of the Jensen-Hosszú Equation	pl_PL
dc.type	Book chapter	pl_PL
dc.page.number	307-324	pl_PL
dc.contributor.authorAffiliation	Silesian University, Institute of Mathematics	pl_PL
dc.references	M. Hosszú, A remark on the dependence of functions, Zeszyty Naukowe Uniwersytetu Jagiellońskiego, Prace Matematyczne 14 (1970), 127–129.	pl_PL
dc.references	D. H. Hyers, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. USA 27 (1941), 222-–224.	pl_PL
dc.references	Z. Kominek, On a local stability of the Jensen functional equation, Demonstratio Math. 23, no 2, (1989), 499–507.	pl_PL
dc.references	Z. Kominek, On the Hyers-Ulam stability of Pexider – type extension of the Jensen-Hosszú equation, Bulletin of the International Mathematical Virtual Institute 1 (2011), 53–57.	pl_PL
dc.references	Z. Kominek, On a pexidered Jensen-Hosszú functional equation on the unit interval, submitted.	pl_PL
dc.references	M. Kuczma, An Introduction to the Theory of Functional Equations and Inequalities. Cauchy’s Equation and Jensen Inequality, Polish Scientific Publishers and Silesian University Press, Warszawa-Kraków-Katowice, 1985.	pl_PL
dc.references	M. Laczkovich, The local stability of convexity, affinity and of the Jensen equation, Aequationes Math. 58, no 1-2 (1999), 135–142.	pl_PL
dc.references	K. Lajkó, Applications of Extensions of Additive Functions, Aequationes Math. 11 (1974), 68–76.	pl_PL
dc.references	L. Losonczi, On the stability of Hosszú’s functional equation, Results Math. 29, no. 3–4 (1996), 305–310.	pl_PL
dc.references	Z. Moszner, Sur les définitions différentes de la stabilité des équations fonctionnelles, Aequationes Math. 68, issue 3 (2004), 260–274.	pl_PL
dc.references	F. Skof, Proprieta Locali e Approssimazione di Operatori, Rend. Semin. Mat. Fis. Milano 53 (1983), 113–129.	pl_PL
dc.references	J. Tabor, Jr. Hosszú functional equation on the unit interval is not stable, Publ. Math (Debrecen) 49, fasc. 3–4 (1996), 335–340.	pl_PL
dc.references	S. M. Ulam, Problems in Modern Mathematics, John Wiley and Sons, New York, 1960.	pl_PL
dc.contributor.authorEmail	zkominek@math.us.edu.pl	pl_PL
dc.identifier.doi	10.18778/7525-971-1.19
dc.subject.msc	39B22
dc.subject.msc	39B52