Sababheh, Mohamad S.; Nusayr, Abdul-Majid; Al-Khaled, Kamel Some convergence results on sinc interpolation. (English) Zbl 1069.41005 JIPAM, J. Inequal. Pure Appl. Math. 4, No. 2, Paper No. 32, 16 p. (2003). Summary: This paper is devoted to the investigation of sine interpolation properties corresponding to a sequence of functions having the sine function as a basis, the interpolation is taken over the dyadic partition of the interval \([0,2\pi]\). In particular, a new class of functions for which the interpolation converge is introduced. The convergence of our interpolation processes is studied and answered in quite a comprehensive way. In fact, the paper aims to provide a guideline towards a large number of problems of interest in applied sciences. Cited in 12 Documents MSC: 41A05 Interpolation in approximation theory 41A10 Approximation by polynomials 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) PDFBibTeX XMLCite \textit{M. S. Sababheh} et al., JIPAM, J. Inequal. Pure Appl. Math. 4, No. 2, Paper No. 32, 16 p. (2003; Zbl 1069.41005) Full Text: EuDML