• Title/Summary/Keyword: Radau-type quadrature

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RADAU QUADRATURE FOR A RATIONAL ALMOST QUASI-HERMITE-FEJÉR-TYPE INTERPOLATION

  • Kumar, Shrawan;Mathur, Neha;Rathour, Laxmi;Mishra, Vishnu Narayan;Mathur, Pankaj
    • Korean Journal of Mathematics
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    • v.30 no.1
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    • pp.43-51
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    • 2022
  • The aim of this paper is to obtain a Radau type quadrature formula for a rational interpolation process satisfying the almost quasi Hermite Fejér interpolatory conditions on the zeros of Chebyshev Markov sine fraction on [-1, 1).

NUMERICAL IMPLEMENTATIONS OF CAUCHY-TYPE INTEGRAL EQUATIONS

  • Abbasbandy, S.;Du, Jin-Yuan
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.253-260
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    • 2002
  • In this paper, a good interpolation formulae are applied to the numerical solution of Cauchy integral equations of the first kind with using some Chebyshev quadrature rules. To demonstrate the effectiveness of the Radau-Chebyshev with respect to the olds, [6],[7],[8] and [121, some examples are given.

ERROR BOUNDS FOR GAUSS-RADAU AND GAUSS-LOBATTO RULES OF ANALYTIC FUNCTIONS

  • Ko, Kwan-Pyo
    • Communications of the Korean Mathematical Society
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    • v.12 no.3
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    • pp.797-812
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    • 1997
  • For analytic functions we give an expression for the kernel $K_n$ of the remainder terms for the Gauss-Radau and the Gauss-Lobatto rules with end points of multiplicity r and prove the convergence of the kernel we obtained. The error bound are obtained for the type $$\mid$R_n(f)$\mid$ \leq \frac{1}{\pi}l(\Gamma) max_{z \in \Gamma} $\mid$K_n(z)$\mid$ max_{z \in \Gamma} $\mid$f(z)$\mid$$, where $l(\Gamma)$ denotes the length of contour $\Gamma$.

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