On estimate for the modulus of continuity of the Cauchy-type integral having a Lipschitz-continuous density

In: Mathematica Slovaca, vol. 63, no. 1

Jaroslav Drobek

Detaily:

Rok, strany: 2013, 83 - 110

Kľúčové slová:

Cauchy-type integral, Lipschitz-continuous density, modulus of continuity, Privalov theorem

DOI: https://doi.org/10.2478/s12175-012-0085-y

O článku:

The Cauchy-type integral having a Lipschitz-continuous density is under investigation. It is considered in a Jordan region that has a piecewise regular boundary without cusps and therefore it can be continuously extended over the closure of the region. Then the boundary values form a function, whose modulus of continuity is to be estimated. One parameter-dependent estimate is obtained and one algorithm for its evaluating is developed. The algorithm is demonstrated on some examples.

Ako citovať:

ISO 690:

Drobek, J. 2013. On estimate for the modulus of continuity of the Cauchy-type integral having a Lipschitz-continuous density. In Mathematica Slovaca, vol. 63, no.1, pp. 83-110. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0085-y

APA:

Drobek, J. (2013). On estimate for the modulus of continuity of the Cauchy-type integral having a Lipschitz-continuous density. Mathematica Slovaca, 63(1), 83-110. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0085-y

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