Title of article
On functions of bounded p-variation
Author/Authors
Kolyada، نويسنده , , V.I. and Lind، نويسنده , , M.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2009
Pages
23
From page
582
To page
604
Abstract
We obtain estimates of the total p-variation ( 1 < p < ∞ ) and other related functionals for a periodic function f ∈ L p [ 0 , 1 ] in terms of its L p -modulus of continuity ω ( f ; δ ) p . These estimates are sharp for any rate of the decay of ω ( f ; δ ) p . Moreover, the constant coefficients in them depend on parameters in an optimal way.
Keywords
Functions of bounded p-variation , Moduli of continuity , Optimal constant factors , Function spaces
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1560345
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