On stability of the general linear equation
| LEADER | caa a22 4500 | ||
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| 001 | 605508240 | ||
| 003 | CHVBK | ||
| 005 | 20210128100635.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00010-014-0317-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-014-0317-z | ||
| 245 | 0 | 0 | |a On stability of the general linear equation |h [Elektronische Daten] |c [Anna Bahyrycz, Jolanta Olko] |
| 520 | 3 | |a We prove, using the fixed point approach, some stability results for the general linear functional equation. Namely we obtain sufficient conditions for the stability of a wide class of functional equations and control functions. Our results generalize a lot of the well known and recent outcomes concerning stability. In some examples we indicate how our method may be used to check if the particular functional equation is stable and we discuss the optimality of obtained bounding constants. | |
| 540 | |a The Author(s), 2014 | ||
| 690 | 7 | |a Hyers-Ulam stability |2 nationallicence | |
| 690 | 7 | |a linear functional equation |2 nationallicence | |
| 690 | 7 | |a fixed point theorem |2 nationallicence | |
| 700 | 1 | |a Bahyrycz |D Anna |u Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084, Kraków, Poland |4 aut | |
| 700 | 1 | |a Olko |D Jolanta |u Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084, Kraków, Poland |4 aut | |
| 773 | 0 | |t Aequationes mathematicae |d Springer International Publishing |g 89/6(2015-12-01), 1461-1474 |x 0001-9054 |q 89:6<1461 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-014-0317-z |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-014-0317-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bahyrycz |D Anna |u Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084, Kraków, Poland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Olko |D Jolanta |u Institute of Mathematics, Pedagogical University, Podchorążych 2, 30-084, Kraków, Poland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer International Publishing |g 89/6(2015-12-01), 1461-1474 |x 0001-9054 |q 89:6<1461 |1 2015 |2 89 |o 10 | ||