Differential Equations

, Volume 48, Issue 2, pp 275–282 | Cite as

Rational interpolation and approximate solution of integral equations

  • V. N. Rusak
  • N. V. Grib
Numerical Methods


In the space of continuous periodic functions, we construct interpolation rational operators, use them to obtain quadrature formulas with positive coefficients which are exact on rational trigonometric functions of order 2n, and suggest an algorithm for an approximate solution of integral equations of the second kind. We estimate the accuracy of the approximate solution via the best trigonometric rational approximations to the kernel and the right-hand side of the integral equation.


Integral Equation Rational Function Approximate Solution Quadrature Formula Trigonometric Polynomial 
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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  • V. N. Rusak
    • 1
    • 2
  • N. V. Grib
    • 1
    • 2
  1. 1.Belarus State UniversityMinskBelarus
  2. 2.Belarus State Pedagogical UniversityMinskBelarus

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