Rational Pál type \((0,1;0)\)-interpolation and quadrature formula with Chebyshev-Markov fractions. (English) Zbl 1507.41001
Summary: We present a Pál-type \((0,1; 0)\)-interpolation on an inter-scaled set of nodes, when Hermite and Lagrange data are prescribed on the zeros of Chebyshev-Markov sine fraction \(U_n(x)\) and its derivative \(U_n^\prime(x)\),respectively. A quadrature formula based on the obtained Pál-type interpolation has been constructed. Coefficients of this quadrature are obtained in the explicit form.
Keywords:
Pál-type interpolation; Lobatto-type quadrature; rational space; Chebyshev-Markov fractionsReferences:
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