Abstract

In this work, B−1\mathbb{B}^{-1}-convex functions which are a new class of generalized convex functions are studied. Some theorems about important properties of B−1\mathbb{B}^{-1}-convex functions are proved. Also, with the aim of regarding the relation between convex and B−1\mathbb{B}^{-1}-convex functions, some examples are given.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

  • Abstract convexity
  • B(-1)-convexity
  • B(-1)-convex functions

Mathematics Subject Classification

52A01, 52A41, 26B25

Suggested citation

G. Adilov, I. Yesilce. “𝔹^{-1}-Convex Functions.” Journal of Convex Analysis 24 (2017), No. 2, 505–517. https://doi.org/10.68381/jca24033

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Published by Heldermann Verlag, 2017. Rights now held by Banach Press.