2005/09/11 by Josef Obermaier, Obermaier, Josef, Ryszard Szwarc +1
Mathematics · #42C15 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:42C15
paper · pdf · doi:10.48550/arxiv.math/0509241
arxiv created 2005/10/23 · arxiv updated 2009/12/01
For orthogonal polynomials defined by compact Jacobi matrix with exponential decay of the coefficients, precise properties of orthogonality measure is determined. This allows showing uniform boundedness of partial sums of orthogonal expansions with respect to L^∞ norm, which generalize analogous results obtained for little q-Legendre, little q-Jacobi and little q-Laguerre polynomials, by the authors.