Affine and convex functions with respect to the logarithmic mean

• Autorzy: Janusz Matkowski
• Języki publikacji: EN

Abstrakty

EN

The class of all functions f:(0,∞) → (0,∞) which are continuous at least at one point and affine with respect to the logarithmic mean is determined. Some related results concerning the functions convex with respect to the logarithmic mean are presented.

Kategorie tematyczne

• 26B25: Convexity, generalizations
• 26E60: Means
• 39B62: Functional inequalities, including subadditivity, convexity, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 95
• Numer: 2
• Strony: 217-230

Daty

wydano

2003

Twórcy

autor

Janusz Matkowski

• Institute of Mathematics, University of Zielona Góra, Podgórna 50, 65-246 Zielona Góra, Poland

Identyfikatory

DOI

10.4064/cm95-2-6