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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

Ilknur Yesilce
Faculty of Science and Letters, Mersin University, Ciftlikkoy Campus, 33343 Mersin, Turkey

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

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