Smoothness repaired by iteration
| LEADER | caa a22 4500 | ||
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| 001 | 605508429 | ||
| 003 | CHVBK | ||
| 005 | 20210128100636.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150601xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00010-014-0277-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-014-0277-3 | ||
| 245 | 0 | 0 | |a Smoothness repaired by iteration |h [Elektronische Daten] |c [Xiaohua Liu, Liu Liu, Weinian Zhang] |
| 520 | 3 | |a It is easy to find some nonsmooth functions whose iterates are smooth ones, showing that iteration can change nonsmoothness into smoothness. In order to investigate the change and avoid complicated computation, in this paper we classify piecewise C 1 self-mappings on the compact interval [0, 1] each of which has only one nonsmooth point. We give necessary and sufficient conditions under which the second order iterates are C 1 smooth functions. | |
| 540 | |a Springer Basel, 2014 | ||
| 690 | 7 | |a Iteration |2 nationallicence | |
| 690 | 7 | |a Nonsmooth |2 nationallicence | |
| 690 | 7 | |a Piecewise smooth |2 nationallicence | |
| 700 | 1 | |a Liu |D Xiaohua |u Department of Mathematics, Leshan Normal College, 614004, Leshan, Sichuan, People's Republic of China |4 aut | |
| 700 | 1 | |a Liu |D Liu |u Department of Mathematics, Southwest Jiaotong University, 610031, Chengdu, Sichuan, People's Republic of China |4 aut | |
| 700 | 1 | |a Zhang |D Weinian |u Department of Mathematics, Sichuan University, 610064, Chengdu, Sichuan, People's Republic of China |4 aut | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/3(2015-06-01), 829-848 |x 0001-9054 |q 89:3<829 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-014-0277-3 |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/s00010-014-0277-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Liu |D Xiaohua |u Department of Mathematics, Leshan Normal College, 614004, Leshan, Sichuan, People's Republic of China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Liu |D Liu |u Department of Mathematics, Southwest Jiaotong University, 610031, Chengdu, Sichuan, People's Republic of China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhang |D Weinian |u Department of Mathematics, Sichuan University, 610064, Chengdu, Sichuan, People's Republic of China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/3(2015-06-01), 829-848 |x 0001-9054 |q 89:3<829 |1 2015 |2 89 |o 10 | ||