On Flett's mean value theorem
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| 024 | 7 | 0 | |a 10.1007/s00010-014-0311-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-014-0311-5 | ||
| 245 | 0 | 0 | |a On Flett's mean value theorem |h [Elektronische Daten] |c [Ondrej Hutník, Jana Molnárová] |
| 520 | 3 | |a The paper deals with the mean value theorem of differential and integral calculus due to Flett (Math Gazette 42:38-39, 1958) and its various extensions. Since this theorem is a source of interest in various fields of mathematics (including functional equations), we aim to provide a detailed study of various (known as well as new) sufficient conditions for its validity, their geometric interpretations, and a comparison of the corresponding classes of functions. Moreover, our approach enables many new alternative proofs of known results, for instance, Pawlikowska's extension of Flett's theorem for higher-order derivatives. Some interesting open problems are also formulated. | |
| 540 | |a Springer Basel, 2014 | ||
| 690 | 7 | |a Flett's mean value theorem |2 nationallicence | |
| 690 | 7 | |a functional equations |2 nationallicence | |
| 690 | 7 | |a mean |2 nationallicence | |
| 690 | 7 | |a inequality |2 nationallicence | |
| 690 | 7 | |a Taylor's polynomial |2 nationallicence | |
| 690 | 7 | |a Pawlikowska's theorem |2 nationallicence | |
| 700 | 1 | |a Hutník |D Ondrej |u Faculty of Science, Institute of Mathematics, Pavol Jozef Šafárik, University in Košice, Jesenná 5, 040 01, Košice, Slovakia |4 aut | |
| 700 | 1 | |a Molnárová |D Jana |u Faculty of Science, Institute of Mathematics, Pavol Jozef Šafárik, University in Košice, Jesenná 5, 040 01, Košice, Slovakia |4 aut | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/4(2015-08-01), 1133-1165 |x 0001-9054 |q 89:4<1133 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-014-0311-5 |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/s00010-014-0311-5 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Hutník |D Ondrej |u Faculty of Science, Institute of Mathematics, Pavol Jozef Šafárik, University in Košice, Jesenná 5, 040 01, Košice, Slovakia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Molnárová |D Jana |u Faculty of Science, Institute of Mathematics, Pavol Jozef Šafárik, University in Košice, Jesenná 5, 040 01, Košice, Slovakia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/4(2015-08-01), 1133-1165 |x 0001-9054 |q 89:4<1133 |1 2015 |2 89 |o 10 | ||