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

Opuscula Mathematica

# 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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