Improving regularity of solutions of a difference equation
| LEADER | caa a22 4500 | ||
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| 001 | 605509034 | ||
| 003 | CHVBK | ||
| 005 | 20210128100639.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150401xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00010-015-0351-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-015-0351-5 | ||
| 100 | 1 | |a Jarczyk |D Witold |u Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Szafrana 4a, 65-516, Zielona Gora, Poland |4 aut | |
| 245 | 1 | 0 | |a Improving regularity of solutions of a difference equation |h [Elektronische Daten] |c [Witold Jarczyk] |
| 520 | 3 | |a Using some results on convex and almost convex functions defined on a locally compact Abelian group, we prove a theorem showing a "measurability implies continuity” effect for non-negative solutions of the difference equation $${\varphi(x) = \sum_{i=1}^{k}p_{i}\varphi\left(x+a_{i} \right)}$$ φ ( x ) = ∑ i = 1 k p i φ x + a i , where $${p_{1}, \ldots, p_{k} \in (0, \infty)}$$ p 1 , ... , p k ∈ ( 0 , ∞ ) and non-zero elements $${a_{1}, \ldots, a_{k}}$$ a 1 , ... , a k of the group are given. | |
| 540 | |a The Author(s), 2015 | ||
| 690 | 7 | |a Haar measure |2 nationallicence | |
| 690 | 7 | |a Linear difference equation |2 nationallicence | |
| 690 | 7 | |a Measurable and continuous solutions |2 nationallicence | |
| 690 | 7 | |a Convex and almost convex functions on groups |2 nationallicence | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/2(2015-04-01), 383-391 |x 0001-9054 |q 89:2<383 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-015-0351-5 |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/s00010-015-0351-5 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Jarczyk |D Witold |u Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Szafrana 4a, 65-516, Zielona Gora, Poland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/2(2015-04-01), 383-391 |x 0001-9054 |q 89:2<383 |1 2015 |2 89 |o 10 | ||