Approximate convexity with the standard deviation's error
Gespeichert in:
Verfasser / Beitragende:
[Marek Żołdak]
Ort, Verlag, Jahr:
2015
Enthalten in:
Aequationes mathematicae, 89/3(2015-06-01), 449-457
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s00010-015-0348-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-015-0348-0 | ||
| 100 | 1 | |a Żołdak |D Marek |u Faculty of Mathematics and Natural Science, University of Rzeszów, Prof. St. Pigonia 1, 35-310, Rzeszow, Poland |4 aut | |
| 245 | 1 | 0 | |a Approximate convexity with the standard deviation's error |h [Elektronische Daten] |c [Marek Żołdak] |
| 520 | 3 | |a Functions $${f\colon D\rightarrow \mathbb{R}}$$ f : D → R defined on an open convex subset of $${\mathbb{R}^n}$$ R n satisfying the approximate type convexity condition with bound of the form $${\varepsilon \sqrt{t(1-t)} \|x-y\|}$$ ε t ( 1 - t ) ‖ x - y ‖ are considered. We discuss properties concerning such functions characteristic for convex functions. | |
| 540 | |a Springer Basel, 2015 | ||
| 690 | 7 | |a Approximate convexity |2 nationallicence | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/3(2015-06-01), 449-457 |x 0001-9054 |q 89:3<449 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-015-0348-0 |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/s00010-015-0348-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Żołdak |D Marek |u Faculty of Mathematics and Natural Science, University of Rzeszów, Prof. St. Pigonia 1, 35-310, Rzeszow, Poland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/3(2015-06-01), 449-457 |x 0001-9054 |q 89:3<449 |1 2015 |2 89 |o 10 | ||