Approximation of functions and their conjugates in Lp and uniform metric by Euler means

Approximation of functions and their conjugates in Lp and uniform metric by Euler means

For 2π-periodic functions from Lp (where 1 < p < ∞) we prove an estimate of approximation by Euler means in Lp metric generalizing a result of L. Rempuska and K. Tomczak. Furthermore, we show that this estimate is sharp in a certain sense. We study the uniform approximation of functions by Eul...

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Bibliographic Details
Main Authors: Volosivets Sergey S., Tyuleneva Anna A.
Format: Article
Language:English
Published: De Gruyter 2018-06-01
Series:Demonstratio Mathematica
Subjects:
Euler means
functions of bounded p-variation
best approximation
conjugate function
degree of approximation
Lp
sharpness
Primary 42A24
Secondary 40G05
41A25
42A50
Online Access:http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0013/dema-2018-0013.xml?format=INT

Internet

http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0013/dema-2018-0013.xml?format=INT

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