Generalized midconvexity

• Autorzy: Jacek Tabor , Józef Tabor , Krzysztof Misztal
• Języki publikacji: EN

Abstrakty

EN

There are many types of midconvexities, for example Jensen convexity, t-convexity, (s,t)-convexity. We provide a uniform framework for all the above mentioned midconvexities by considering a generalized middle-point map on an abstract space X.
We show that we can define and study the basic convexity properties in this setting.

Kategorie tematyczne

• 26B25: Convexity, generalizations
• 26A51: Convexity, generalizations
• 39B62: Functional inequalities, including subadditivity, convexity, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2013
• Tom: 99
• Numer: 1
• Strony: 207-215

Daty

wydano

2013

Twórcy

autor

Jacek Tabor

• Institute of Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

autor

Józef Tabor

• Institute of Mathematics, University of Rzeszów, Rejtana 16A, 35-310 Rzeszów, Poland

autor

Krzysztof Misztal

• Institute of Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/bc99-0-13