Article ID Journal Published Year Pages File Type
1709535 Applied Mathematics Letters 2009 7 Pages PDF
Abstract

We construct a theory of divergent integrals, based on the following definition: we say that ff is (c,α)(c,α) integrable, α>−1α>−1, if, for some a∈Ra∈R, limT→∞∫0T(1−tT)αf(t)dt=a. As a consequence of this definition, some theorems are proved. We study, in detail, the case α=1α=1.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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