Artículo
Approximating the identity of convolution with random mean and random variance
Fecha de publicación:
02/2022
Editorial:
Academic Press Inc Elsevier Science
Revista:
Journal of Mathematical Analysis and Applications
ISSN:
0022-247X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We provide sufficient conditions on the function φ, on the sequence of random variables εj>0 and on the sequence of random vectors yj∈Rn such that E([Formula presented]∫z∈Rnφ([Formula presented])f(z)dz)⟶j→∞f(x) for almost every x∈Rn, f∈Lp(Rn), 1≤p≤∞, where E denotes the expectation, εj tends to 0∈R in law and yj tends to 0∈Rn in law.
Palabras clave:
APPROXIMATE IDENTITY
,
CONVOLUTION
,
DIFFERENTIATION THEOREM
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Articulos(IMAL)
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"
Citación
Aimar, Hugo Alejandro; Gomez, Ivana Daniela; Approximating the identity of convolution with random mean and random variance; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 506; 2; 2-2022; 1-10
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