On the polynomials interpolating approximate solutions of singular integral equations

References

• Erdogan , F. and Gupta , G. D. On the numerical solution of singular integral equations .
   Google Scholar
• Theocaris , P. S. and loakimidis , N. I. 1977 . Numerical integration methods for the solution of singular integral equations . Quart. Appl. Math , 35 : 173 – 183 .
   Web of Science ®Google Scholar
• Krenk , Steen . 1975 . On quadrature formulas for singular integral equations of the first and the second kind . Quart. Appl. Math. , 33 : 225 – 232 .
   Web of Science ®Google Scholar
• Ramm , A. G. 1977 . On simultaneous approximation of a function and its derivative by interpolation polynomials . Bull. London Math. Soc. , 9 : 283 – 288 .
   Google Scholar
• Haverkamp , Richard . 1978 . Approximationseigenschaften differenzierter interpolations-polynome . J. Approx. Theory , 23 : 261 – 266 .
   Google Scholar
• Srivastav , R. P. 1978 . Numerical solution of singular integral equations using Gauss-type formulae—I: Quadrature and collocation on Chebyshev nodes . IMA J. Numerical Analysis , 23 to appear
   Google Scholar
• Srivastav , R. P. and Jen , Erica . 1978 . Numerical solution of singular integral equations using Gauss-type formulae—II: Lobatto-Chebyshev quadrature and collocation on Chebyshev nodes . IMA J. Numerical Analysis , 23 to appear
   Google Scholar
• loakimidis , N. I. 1981 . On the natural interpolation formula for Cauchy-type singular integral equations of the first kind . Computing , 26 : 73 – 77 .
   Google Scholar
• Smith , William E. and Sloan , Ian H. 1980 . Product integration rules based on the zeros of Jacobi polynomials . SIAM J. Numerical Anal. , 17 : 1 – 13 .
   Google Scholar