Opuscula Mathematica
Opuscula Math. 28, no. 2 (2008), 129-136

Application of Chebyshev and trigonometric polynomials to the approximation of a solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane

Paweł Karczmarek
Abstract. In this article Chebyshev and trigonometric polynomials are used to construct an approximate solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane.
Keywords: singular integral equation, Cauchy kernel, multiplicative kernel, approximate solution, Chebyshev polynomials, trigonometric polynomials.
Mathematics Subject Classification: 45E05, 45L05, 65R20.
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Paweł Karczmarek
The John Paul II Catholic University of Lublin, Institute of Mathematics and Computer Science, al. Racławickie 14, 20-950 Lublin, Poland
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Received: 2007-07-24.
Revised: 2007-10-30.
Accepted: 2007-11-11.
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Paweł Karczmarek, Application of Chebyshev and trigonometric polynomials to the approximation of a solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane, Opuscula Math. 28, no. 2 (2008), 129-136, http://dx.doi.org/10.7494/OpMath.2008.28.2.129.
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