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The Inequalities for Polynomials and Integration over Fractal Arcs

Published online by Cambridge University Press:  20 November 2018

B. A. Kats
B. A. Kats*
Affiliation:
Kazan State Academy of Architecture and Constructions 1 Zelenaya str. Kazan, Republic of Tatarstan 420043 Russia, email: kats@ksaba.kcn.ru
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Abstract

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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.

Keywords

26B1528A80
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 44 , Issue 1 , 01 March 2001 , pp. 61 - 69
Copyright
Copyright © Canadian Mathematical Society 2001

References

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