B-1-Convex Functions
Journal of convex analysis, Tome 24 (2017) no. 2, pp. 505-517
In this work, B-1-convex functions which are a new class of generalized convex functions are studied. Some theorems about important properties of B-1-convex functions are proved. Also, with the aim of regarding the relation between convex and B-1-convex functions, some examples are given.
Classification :
52A01, 52A41, 26B25
Mots-clés : Abstract convexity, B(-1)-convexity, B(-1)-convex functions
Mots-clés : Abstract convexity, B(-1)-convexity, B(-1)-convex functions
@article{JCA_2017_24_2_JCA_2017_24_2_a9,
author = {G. Adilov and I. Yesilce},
title = {B\protect\textsuperscript{-1}-Convex {Functions}},
journal = {Journal of convex analysis},
pages = {505--517},
year = {2017},
volume = {24},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JCA_2017_24_2_JCA_2017_24_2_a9/}
}
G. Adilov; I. Yesilce. B-1-Convex Functions. Journal of convex analysis, Tome 24 (2017) no. 2, pp. 505-517. http://geodesic.mathdoc.fr/item/JCA_2017_24_2_JCA_2017_24_2_a9/