Smelov, V. V. Effective approximation of piecewise smooth functions by their expansion into fast convergent series in terms of functions formed by eigenfunctions of Sturm-Liouville problems. (English) Zbl 1064.65076 Russ. J. Numer. Anal. Math. Model. 19, No. 5, 449-465 (2004). The author proposes a method of constructing the specific functional bases of binary sets of eigenfunctions for the Sturm-Liouville operator of a general form. Reviewer: Emil Minchev (Tokyo) MSC: 65L15 Numerical solution of eigenvalue problems involving ordinary differential equations 34L16 Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators 34B24 Sturm-Liouville theory 41A30 Approximation by other special function classes 41A10 Approximation by polynomials Keywords:functional bases; piecewise smooth functions; eigenfunctions; Sturm-Liouville problem PDF BibTeX XML Cite \textit{V. V. Smelov}, Russ. J. Numer. Anal. Math. Model. 19, No. 5, 449--465 (2004; Zbl 1064.65076) Full Text: DOI