Approximate convexity with the standard deviation's error

Verfasser / Beitragende:
[Marek Żołdak]
Ort, Verlag, Jahr:
2015
Enthalten in:
Aequationes mathematicae, 89/3(2015-06-01), 449-457
Format:
Artikel (online)
ID: 605508607
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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 
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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