Book Review: Theory of functions of a real variable

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Theory of functions of a real variable

axioms for a space on which we can define integration. Furthermore, the set of such functions is an algebra containing 1 and which separates points, so is dense in C(Ω) by the Stone-Weierstrass theorem. Let us call the space of such functions Cfin(Ω). If we define an integral I on Cfin(Ω) then, by the Stone-Weierstrass theorem it extends to C(Ω) and therefore, by the Riesz representation theore...

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Applications of TP2 Functions in Theory of Stochastic Orders: A Review of some Useful Results

In the literature on Statistical Reliability Theory and Stochastic Orders, several results based on theory of TP2/RR2 functions have been extensively used in establishing various properties. In this paper, we provide a review of some useful results in this direction and highlight connections between them.

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1956

ISSN: 0002-9904

DOI: 10.1090/s0002-9904-1956-09985-9