Title of article
On Variational Measures Related to Some Bases
Author/Authors
B.Bongiorno and L.Di Piazza1، نويسنده , , V.A.Skvortsov 2، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2000
Pages
15
From page
533
To page
547
Abstract
We extend, to a certain class of differentiation bases, some results on the variational
measure and the δ-variation obtained earlier for the full interval basis.In
particular the theorem stating that the variational measure generated by an interval
function is σ-finite whenever it is absolutely continuous with respect to the
Lebesgue measure is extended to any Busemann–Feller basis.
Keywords
?-variation , Henstockintegral , variational measure , Perron integral , differentiation basis
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2000
Journal title
Journal of Mathematical Analysis and Applications
Record number
932255
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