Generalization of the Fundamental Theorem on Subadditive Functions

1 April 1962

journal article
research article
Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society

Vol. 58 (2) , 235-238
https://doi.org/10.1017/s030500410003646x

Abstract

Statement of results. Let g(x) be a given real finite function of a real variable x. Let F(g) denote the class of all real Lebesgue-measurable and finite (though possibly unbounded) functions f(x) which satisfy where η may depend upon f Let F* denote the class of all real f(x) such that exists and satisfies − ∞ ≤l<+∞.

Keywords

STATEMENT
UNBOUNDED
LEBESGUE
POSSIBLY
SUBADDITIVE FUNCTIONS
FUNDAMENTAL THEOREM