TY - JOUR ID - Karczmarek2008 LB - Karczmarek2008 AU - Karczmarek, Paweł TI - 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 ST - 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 JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2008 VL - 28 IS - 2 SP - 129 EP - 136 DO - http://dx.doi.org/10.7494/OpMath.2008.28.2.129 UR - http://dx.doi.org/10.7494/OpMath.2008.28.2.129 AB - 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. KW - singular integral equation KW - Cauchy kernel KW - multiplicative kernel KW - approximate solution KW - Chebyshev polynomials KW - trigonometric polynomials SN - 1232-9274 ER -