Definitions, properties and applications of finite-part integrals

Authors:
G. Monegato
Affiliations:
Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

By using standard calculus, we discuss some definitions and properties of finite-part integrals, point out the essence of this concept and show how these integrals naturally arise in some integral equation applications. A couple of new examples are also described.