Progress in Approximation Theory

Progress in Approximation Theory

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Offers 63 articles on various areas of pure and applied approximation theory, including characterization of the classical orthogonal polynomials, spectral approximations of monodimensional fourth-order problems and the convergence rate Hermite-Fejer interpolation of higher order.
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Product details

  • Hardback | 760 pages
  • Academic Press Inc
  • San Diego, United States
  • English
  • 0125167504
  • 9780125167505

Table of contents

A characterization of the classical orthogonal poly-nominals, R.P.Agarwal and G.V.Milovanovic; monotone approximation by pseudopolynomicals, G.A.Anastassiou; complex-valued spline functions defined on an open complex set, bounded, and multiply connected, MAtteia; on the norm of the best approximation operator, M.W.Bartlett and J.J.Swetits; remainders for boolean interpolation, G.Baszenski and F.J.Delvos; some spectral approximations of mono-dimensional fourth-order problems, C.Bernardi and Y.Manday; able summability of entire functions of exponential type, W.T.Butterworth; mean and uniform convergence of quadrature rules for evaluating the finite Hilbert Transform, G.Criscuolo and G.Mastroianni; some properties of a rational operator of Bernstein-type, B.D.Vecchia; anti-periodic interpolation of uniform meshes, F.J.Delvos; a nodal spline generalization of the Lagrange Interpolant, J.M.De Villiers and C.H.Rohwer; entire functions associated with eq where q is of slower than polynomial growth, K.A.Driver; quadrature formulae with Birkhoff-type data on equidistant nodes for 2-periodic functions, D.P.Dryanov et al; rate of convergence of moving least squares interpolation methods - the univariate case, R.Farwig; on proximinal subspaces of continuous function spaces, M.Feder; discretization of convolution and reconstruction of band-limited functions from irregular sampling, H.G.Feichtinger; Chebyshev Polynomials are not always optimal, B.Fischer and R.Freund; Banach Spaces with a basic inequality property and the best compact approximation property, R.J.Fleming and J.E.Jamison; M-ideals and a basic inequality in Banach Spaces, R.J.Fleming and J.E.Jamison; strong asymptotics and the limit distribution of the zeros of Jacobi Polynomials P, W.Gawronski and B.Shawyer; rational approximation of a class of infinite dimensional systems, K.Glover et al; the Posse-Markov-Stieltjies Inequality for Turan type quadratic sums, L Gori; on the convergence of Quasi-Gaussian Functionals, L.Gori and E.Santi; equivalence of a weighted modulus of smoothness and a modified weighted K-functional, M.Heilman and M.W.Muller; best L-approximation by convex functions of several variables, S.Legg and D.Townsend; approximation properties of beta operators, M.K.Khan; some properties of a Bernstein-type operator of Blimann, Butzer and Hahn, R.A.Kahn; best L-approximations, K.Kitahara; generalized series expansions of a function, A.Knopfmacher; the dimension of the space of periodic splines on the regular hexagonal lattice, F.Krebs; on Fejer Means with respect to orthogonal polynomials - a hypergroup theoretic approach, R.Lasser and J.Obermaier; degree of approximation by polynomials with restricted co-efficients, D.Leviatan. (Part contents) ...
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