On Regulated Functions
نویسندگان
چکیده
منابع مشابه
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Regulated functions and the regulated integral
Let I = [a, b] and let X be a normed space. A function f : I → X is said to be regulated if for all t ∈ [a, b) the limit lims→t+ f(s) exists and for all t ∈ (a, b] the limit lims→t− f(s) exists. We denote these limits respectively by f(t ) and f(t−). We define R(I,X) to be the set of regulated functions I → X. It is apparent that R(I,X) is a vector space. One checks that a regulated function is...
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ژورنال
عنوان ژورنال: Journal of Mathematics and Applications
سال: 2017
ISSN: 1733-6775,2300-9926
DOI: 10.7862/rf.2017.2