An elementary approach to asymptotic behavior in the Ces\`{a}ro sense and applications to the Laplace and Stieltjes transforms
Novi Sad Journal of Mathematics, Tome 45 (2015) no. 1.

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We present an elementary approach to asymptotic behavior of generalized functions in the Ces\`aro sense. Our approach is based on Yosida's subspace of Mikusi\'{n}ski operators. Applications to Laplace and Stieltjes transforms are given.
Publié le :
DOI : 10.30755/NSJOM.dans14.05
Classification : 41A60, 44A40, 44A10, 44A15, 46F10, 46F12
Keywords: Asymptotic behavior of generalized functions, asymptotics in the Ces\`aro sense, Laplace transform, Stieltjes transform
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Dennis Nemzer; Jasson Vindas. An elementary approach to asymptotic behavior in the Ces\`{a}ro sense and applications to the Laplace and Stieltjes
transforms. Novi Sad Journal of Mathematics, Tome 45 (2015) no. 1. doi : 10.30755/NSJOM.dans14.05. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.dans14.05/

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