DSpace Kolekcja:
http://hdl.handle.net/11320/3542
2020-12-01T08:45:20ZOn Lp Space Formed by Real-Valued Partial Functions
http://hdl.handle.net/11320/3570
Tytuł: On Lp Space Formed by Real-Valued Partial Functions
Autorzy: Watase, Yasushige; Endou, Noboru; Shidama, Yasunari
Abstrakt: This article is the continuation of [31]. We define the set of Lp integrable functions - the set of all partial functions whose absolute value raised to the p-th power is integrable. We show that Lp integrable functions form the Lp space. We also prove Minkowski's inequality, Hölder's inequality and that Lp space is Banach space ([15], [27]).2010-01-01T00:00:00ZOn the Continuity of Some Functions
http://hdl.handle.net/11320/3572
Tytuł: On the Continuity of Some Functions
Autorzy: Korniłowicz, Artur
Abstrakt: We prove that basic arithmetic operations preserve continuity of functions.2010-01-01T00:00:00ZThe Geometric Interior in Real Linear Spaces
http://hdl.handle.net/11320/3573
Tytuł: The Geometric Interior in Real Linear Spaces
Autorzy: Pąk, Karol
Abstrakt: We introduce the notions of the geometric interior and the centre of mass for subsets of real linear spaces. We prove a number of theorems
concerning these notions which are used in the theory of abstract simplicial complexes.2010-01-01T00:00:00ZMiscellaneous Facts about Open Functions and Continuous Functions
http://hdl.handle.net/11320/3571
Tytuł: Miscellaneous Facts about Open Functions and Continuous Functions
Autorzy: Korniłowicz, Artur
Abstrakt: In this article we give definitions of open functions and continuous functions formulated in terms of "balls" of given topological spaces.2010-01-01T00:00:00Z