论文信息 - Some remarks ons-convex functions

Some remarks ons-convex functions

SummaryTwo kinds ofs-convexity (0 <s ≤ 1) are discussed. It is proved among others thats-convexity in the second sense is essentially stronger than thes-convexity in the first, original, sense whenever 0 <s < 1. Some properties ofs-convex functions in both senses are considered and various examples and counterexamples are given.

Lech Maligranda | Henryk Hudzik | L. Maligranda | H. Hudzik

[1] W. Orlicz,et al. A note on the theory of s-normed spaces of φ-integrable functions , 1961 .

[2] Wolfgang W. Breckner,et al. Stetigkeitsaussagen Für Eine Klasse Verallgemeinerter Konvexer Funktionen In Topologischen Linearen Räumen , 1978 .

[3] Stefan Rolewicz,et al. Metric Linear Spaces , 1985 .

[4] Julian Musielak,et al. Orlicz Spaces and Modular Spaces , 1983 .