On strong (F)-convexity

Judit Maḱo, Kazimierz Nikodem, Z. Páles

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, strongly (T) -convex functions, i.e., functions f : DR satisfying the functional inequality for x,y ε D and t ε T [0,1] are investigated. Here D is a convex set in a linear space, is a nonnegative function on DD, and T R is a nonempty set. The main results provide various characterizations of strong (T) -convexity in the case when T is a subfield of R.

Original languageEnglish
Pages (from-to)289-299
Number of pages11
JournalMathematical Inequalities and Applications
Volume15
Issue number2
Publication statusPublished - Apr 2012

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Convexity
Functional Inequalities
Subfield
Linear Space
Convex Sets
Convex function
Non-negative

Keywords

  • -convexity
  • Strong convexity

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

On strong (F)-convexity. / Maḱo, Judit; Nikodem, Kazimierz; Páles, Z.

In: Mathematical Inequalities and Applications, Vol. 15, No. 2, 04.2012, p. 289-299.

Research output: Contribution to journalArticle

Maḱo, J, Nikodem, K & Páles, Z 2012, 'On strong (F)-convexity', Mathematical Inequalities and Applications, vol. 15, no. 2, pp. 289-299.
Maḱo, Judit ; Nikodem, Kazimierz ; Páles, Z. / On strong (F)-convexity. In: Mathematical Inequalities and Applications. 2012 ; Vol. 15, No. 2. pp. 289-299.
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