One Dimensional Approximation Theory and Singular Operators:

[26] S. B. Damelin, K. Diethelm, Analytic and Numerical Analysis of Singular Cauchy integrals with exponential-type weights, arxiv 1711.09495.

[25] S.B. Damelin, Pointwise bounds of orthogonal expansions on the real line via weighted Hilbert Transforms, Advances in Computational Mathematics (2006), pp 1-21

[24] S.B. Damelin and H.S. Jung, Pointwise convergence of derivatives of weighted Lagrange interpolation polynomials, Journal of Computational and Applied Mathematics, Volume 173, (2)(2005), pp 303-319.

[23] S.B. Damelin and K. Diethelm, Weighted polynomial approximation and Hilbert Transforms: Their connections to the numerical solution of singular integral equations, Proceedings of Dynamic Systems and Applications, Volume 4 (2004), pp 20-26 Ed. G. S. Ladde, N.G. Medhin. M. Sambandham.

[22] S.B. Damelin and K. Diethelm, Numerical solution of Fredholm integral equations on the line, Journal of Integral equations and Applications, Volume 13(3), 2004, pp 273-292.

[21] S.B. Damelin, H.S. Jung and K.H. Kwon, Mean convergence of extended Lagrange interpolation for exponential weights, Acta Applicandae Mathematicae, 76(2003), pp 17-36.

[20] S.B. Damelin, Marcinkiewicz-Zygmund inequalities and the Numerical approximation of singular integrals for exponential weights: Methods, Results and Open Problems, some new, some old; Journal of Complexity, 19(2003), pp 406-415.

[19] S.B. Damelin, The Hilbert transform and orthonormal expansions for exponential weights, Approximation Theory X: Abstract and Classical Analysis, Chui, Schumaker and Stoekler (eds), Vanderbilt Univ. Press (2002), pp 117-135.

[18] S.B. Damelin, H.S. Jung and K.H. Kwon, Converse Marcinkiewicz-Zygmund inequalities on the real line with applications to mean convergence of Lagrange interpolation, Analysis, 22(2002), pp 33-55.

[17] S.B. Damelin, H.S. Jung and K.H. Kwon, Mean convergence of Hermite-Fej'er and Hermite interpolation of higher order for Freud weights, Journal of Approximation Theory, 113 (2001), pp 21-58.

[16] S.B. Damelin, H.S. Jung and K.H. Kwon, A note on mean convergence of Lagrange interpolation in Lp, Journal of Computational and Applied mathematics, 133 (1-2) (2001), pp 277-282.

[15] S.B. Damelin, H.S. Jung and K.H. Kwon, On mean convergence of Hermite-Fej'er and Hermite interpolation for Erdos weights on the real line, Journal of Computational and Applied Math, Volume 137 (2001), pp 71-76.

[14] S.B. Damelin and K. Diethelm, Boundedness and uniform approximation of the weighted Hilbert transform on the real line, Numer. Funct. Anal. and Optimiz., 22(1 and 2) (2001), pp 13-54.

[13] S.B. Damelin, H.S Jung and K.H Kwon, Necessary conditions for mean convergence of Lagrange interpolation for exponential weights, Journal of Computational and Applied Mathematics, Volume 132(2)(2001), pp 357-369.

[12] S.B. Damelin, Smoothness theorems for generalized symmetric Pollakzek weights on (- 1,1), Journal of Computational and Applied Mathematics., 101 (1999), pp 87-103.

[11] S.B. Damelin and K. Diethelm, Interpolatory Product quadratures for Cauchy principal value integrals with Freud weights, Numer. Math. 83 (1999), pp. 87-105.

[10] S.B. Damelin, Smoothness theorems for Erdos Weights II, J. Approx. Theory., Volume 97, (1999), pp 220-239.

[9] S.B. Damelin, A characterisation of smoothness for Freud weights, Journal of Computational and Applied Mathematics., 99(1998), pp 463-473.

[8] S.B. Damelin, The weighted Lebesgue constant of Lagrange interpolation for exponential weights on [-1,1], Acta-Mathematica (Hungarica)., 81(3) (1998), pp 211-228.

[7] S.B. Damelin, The Lebesgue constant of Lagrange interpolation for Erdos weights, J. Approx. Theory., Volume 94, 2, (1998), pp 235-262.

[6] S.B. Damelin and D.S. Lubinsky, Jackson theorems for Erdos weights in L_p, J. Approx. Theory., Volume 94, (3) (1998), pp 333-382.

[5] S.B. Damelin, Converse and smoothness theorems for Erdos weights in L_p, J. Approx. Theory., Volume 93, (3)(1998), pp 349-398.

[4] S.B. Damelin and D.S. Lubinsky, Necessary and sufficient conditions for mean convergence of Lagrange interpolation for Erdos weights II, Canad. Math. J., (40) (1996), pp 737--757.

[3] S.B. Damelin and D.S. Lubinsky, Necessary and sufficient conditions for mean convergence of Lagrange interpolation for Erdos weights, Canad. Math. J., (40)(1996), pp 710-736.

[2] S.B. Damelin, Marchaud inequalities for a class of Erdos weights, Approximation Theory VIII-Vol I (1995)., Approximation and Interpolation, Chui et al, pp 169--175.

[1] S.B. Damelin, Weighted approximation for Erdos weights, Disser. Math., Vol 1 (1996), pp 163--171.