caa a22 4500 605508607 CHVBK 20210128100637.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00010-015-0348-0 doi (NATIONALLICENCE)springer-10.1007/s00010-015-0348-0 Żołdak Marek Faculty of Mathematics and Natural Science, University of Rzeszów, Prof. St. Pigonia 1, 35-310, Rzeszow, Poland aut Approximate convexity with the standard deviation's error [Elektronische Daten] [Marek Żołdak] 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. Springer Basel, 2015 Approximate convexity nationallicence Aequationes mathematicae Springer Basel 89/3(2015-06-01), 449-457 0001-9054 89:3<449 2015 89 10 https://doi.org/10.1007/s00010-015-0348-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00010-015-0348-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Żołdak Marek Faculty of Mathematics and Natural Science, University of Rzeszów, Prof. St. Pigonia 1, 35-310, Rzeszow, Poland aut NATIONALLICENCE 773 0- Aequationes mathematicae Springer Basel 89/3(2015-06-01), 449-457 0001-9054 89:3<449 2015 89 10