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The Inequalities for Polynomials and Integration over Fractal Arcs
Published online by Cambridge University Press: 20 November 2018
Abstract
The paper is dealing with determination of the integral ${{\int }_{\gamma }}\,f$ along the fractal arc
$\gamma $ on the complex plane by terms of polynomial approximations of the function
$f$. We obtain inequalities for polynomials and conditions of integrability for functions from the Hölder, Besov and Slobodetskii spaces.
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- Research Article
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- Copyright © Canadian Mathematical Society 2001
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