Adam G.H., Nobile A.: Product integration rules at Clenshaw-Curtis and related points: a robust implementation. IMA J. Numer. Math. 11, 271–296 (1991)
Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions. National Bureau of Standards, Washington, D.C. (1964)
Bernstein S.N.: Sur l’ordre de la meilleure approximation des fonctions continues par les polyn?mes de degré donné. Mem. Cl. Sci. Acad. Roy. Belg. 4, 1–103 (1912)
Berrut J.P., Trefethen L.N.: Barycentric Lagrange interpolation. SIAM Rev. 46, 501–517 (2004)
Boyd J.P.: Chebyshev and Fourier Spectral Methods. Dover, New York (2000)
Clenshaw C.W., Curtis A.R.: A method for numerical integration on an automatic computer. Numer. Math. 2, 197–205 (1960)
Dahlquist G., Björck A.: Numerical Methods in Scientific Computing. SIAM, Philadelphia (2007)
Davis P.J., Rabinowitz P.: Methods of Numerical Integration, 2nd edn. Academic Press, New York (1984)
Deaño A., Huybrechs D.: Complex Gaussian quadrature of oscillatory integrals. Numer. Math. 112, 197–219 (2009)
Evans G.A.: Practical Numerical Integration. Wiley, Chichester (1993)
Evans G.A., Webster J.R.: A comparison of some methods for the evaluation of highly oscillatory integrals. J. Comput. Appl. Math. 112, 55–69 (1999)
Glaser A., Liu X., Rokhlin V.: A fast algorithm for the calculation of the roots of special functions. SIAM J. Sci. Comput. 29, 1420–1438 (2007)
Gradshteyn I.S., Ryzhik I.M.: Tables of Integrals, Series, and Products, 6th edn. Academic Press, San Diego (2000)
O’Hara H., Smith F.J.: Error estimation in the Clenshaw-Curtis quadrature formula. Comput. J. 11, 213–219 (1968)
Hascelik A.I.: On numerical computation of integrals with integrands of the form f(x) sin(w/x r) on [0,1]. J. Comput. Appl. Math. 223, 399–408 (2009)
Iserles A., Nørsett S.P.: Efficient quadrature of highly-oscillatory integrals using derivatives. Proc. R. Soc. A 461, 1383–1399 (2005)
Kussmaul R.: Clenshaw-Curtis quadrature with a weighting function. Computing 9, 159–164 (1972)
Littlewood R.K., Zakian V.: Numerical evaluation of Fourier integrals. J. Inst. Math. Appl. 18, 331–339 (1976)
Mason J.C., Handscomb D.C.: Chebyshev Polynomials. CRC Press, New York (2003)
Paterson T.N.L.: On high precision methods for the evaluation of Fourier integrals with finite and infinite limits. Numer. Math. 27, 41–52 (1976)
Piessens R., Branders M.: Modified Clenshaw-Curtis method for the computation of Bessel function integrals. BIT 23, 370–381 (1983)
Piessens R., Poleunis F.: A numerical method for the integration of oscillatory functions. BIT 11, 317–327 (1971)
Powell M.J.D.: Approximation Theory and Methods. Cambridge University Press, Cambridge (1981)
Sloan I.H.: On the numerical evaluation of singular integrals. BIT 18, 91–102 (1978)
Sloan I.H., Smith W.E.: Product-integration with the Clenshaw-Curtis and related points. Numer. Math. 30, 415–428 (1978)
Sloan I.H., Smith W.E.: Product integration with the Clenshaw-Curtis points: implementation and error estimates. Numer. Math. 34, 387–401 (1980)
Stein E.: Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals. Princeton University Press, Princeton (1993)
Szegö G.: Orthogonal Polynomial. American Mathematical Society, Providence, Rhode Island (1939)
Trefethen L.N.: Spectral Methods in MATLAB. SIAM, Philadelphia (2000)
Trefethen L.N.: Is Gauss quadrature better than Clenshaw-Curtis?. SIAM Rev. 50, 67–87 (2008)
Waldvogel J.: Fast construction of the Fejér and Clenshaw-Curtis quadrature rules. BIT 46, 195–202 (2006)
Xiang S.: Efficient Filon-type methods for \({\int_a^bf(x)e^{i\omega g(x)}dx}\) . Numer. Math. 105, 633–658 (2007)