A characterization of functions with dense graph in the plane or half-plane

Zbigniew Gajda

Published: 1986-09-30
Language: EN

Vol. 2 (1986)

A characterization of functions with dense graph in the plane or half-plane

Zbigniew Gajda

Abstract

Let R be the set of all real numbers. In the present paper we shall characterize functions f: R→R which are either linear or have graph contained and dense in the plane or half-plane determined by a linear function. For this purpose we consider functions satisfying certain limitary conditions which are related to the additivity equation but considerably weaker than that.

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Gajda, Z. (1986). A characterization of functions with dense graph in the plane or half-plane. Annales Mathematicae Silesianae, 2, 37–46. Retrieved from https://trrest.vot.pl/ojsus/index.php/AMSIL/article/view/14319

Vol. 2 (1986)
Published: 1986-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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