Journal of Convex Analysis 24 (2017), No. 2, 505--517
Copyright Heldermann Verlag 2017
B-1-Convex Functions
Gabil Adilov
Faculty of Education, Akdeniz University, Dumlupinar Boulevard 07058, Campus Antalya, Turkey
gabiladilov@gmail.com
Ilknur Yesilce
Faculty of Science and Letters, Mersin University, Ciftlikkoy Campus, 33343 Mersin, Turkey
ilknuryesilce@gmail.com
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.
Keywords: Abstract convexity, B(-1)-convexity, B(-1)-convex functions.
MSC: 52A01, 52A41, 26B25
[ Fulltext-pdf (151 KB)] for subscribers only.