Geodesic
The Inequalities for Polynomials and Integration over Fractal Arcs
Canadian mathematical bulletin, Tome 44 (2001) no. 1, pp. 61-69

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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.
DOI : 10.4153/CMB-2001-007-x
Mots-clés : 26B15, 28A80 
Kats, B. A. The Inequalities for Polynomials and Integration over Fractal Arcs. Canadian mathematical bulletin, Tome 44 (2001) no. 1, pp. 61-69. doi: 10.4153/CMB-2001-007-x
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     title = {The {Inequalities} for {Polynomials} and {Integration} over {Fractal} {Arcs}},
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     doi = {10.4153/CMB-2001-007-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-007-x/}
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