### 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 language | English |
---|---|

Pages (from-to) | 289-299 |

Number of pages | 11 |

Journal | Mathematical Inequalities and Applications |

Volume | 15 |

Issue number | 2 |

Publication status | Published - Apr 2012 |

### Fingerprint

### Keywords

- -convexity
- Strong convexity

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Mathematical Inequalities and Applications*,

*15*(2), 289-299.

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

Research output: Contribution to journal › Article

*Mathematical Inequalities and Applications*, vol. 15, no. 2, pp. 289-299.

}

TY - JOUR

T1 - On strong (F)-convexity

AU - Maḱo, Judit

AU - Nikodem, Kazimierz

AU - Páles, Z.

PY - 2012/4

Y1 - 2012/4

N2 - 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.

AB - 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.

KW - -convexity

KW - Strong convexity

UR - http://www.scopus.com/inward/record.url?scp=84866356789&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84866356789&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84866356789

VL - 15

SP - 289

EP - 299

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

SN - 1331-4343

IS - 2

ER -