Topic #11 ------------ OP-SF NET 4.5 ------------ September 15, 1997 ~~~~~~~~~~~~~ From: OP-SF NET Editor (thk@wins.uva.nl) Subject: Rivlin Festschrift Annals of Numerical Mathematics Vol 4, 1997 is a special issue on "The heritage of P.L. Chebyshev: A Festschrift in honor of the 70th birthday of T.J. Rivlin". This special issue is edited by Charles A. Micchelli. The following table of contents is found at the URL: http://www.baltzer.nl/anuma/an4-97.html . A considerable part of the included papers deals with orthogonal polynomials. Dedication Charles A. Micchelli On the work of Theodore J. Rivlin C.A. Micchelli A brief preface T.J. Rivlin On Chebyshev polynomials in dynamics R. Adler, B. Kitchens, C.A. Micchelli and C. Tresser 1 Renewal sequences and ordered partitions J.M. Anderson and A. Hinkkanen 11 Bounds for the trace of the inverse and the determinant of symmetric positive definite matrices Z. Bai and G.H. Golub 29 On approximation by exponentials B.J.C. Baxter and A. Iserles 39 A discrepancy lemma for oscillating polynomials and sign changes of the error function of best approximants H.-P. Blatt 55 On the zeros of various kinds of orthogonal polynomials C. Brezinski and M. Redivo-Zaglia 67 On the lower semicontinuity of best rational Chebyshev approximation B. Brosowski 79 Rivlin's problem B. Brosowski and F. Deutsch 95 Lebesgue functions for polynomial interpolation -- a survey L. Brutman 111 On a recovery problem M. Buhmann and A. Pinkus 129 The approximate sampling theorem, Poisson's sum formula, a decomposition theorem for Parseval's equation and their interconnections P.L. Butzer and A. Gessinger 143 Support and foundation of bases J.M. Carnicer, T.N.T. Goodman and J.M. Pen¬a 161 Lacunary interpolation by cosine polynomials A.S. Cavaretta, C.R. Selvaraj and A. Sharma 181 A study of asymptotically optimal time-frequency localization by scaling functions and wavelets C.K. Chui and J.Z. Wang 193 A de Montessus theorem for multivariate homogeneous Padé approximants A. Cuyt and D.S. Lubinsky 217 The multiplicity of a spline zero C. de Boor 229 Overconvergence of some simultaneous Hermite-Padé interpolants M.G. de Bruin and A. Sharma 239 Approximation by feed-forward neural networks R.A. DeVore, K.I. Oskolkov and P.P. Petrushev 261 Uniqueness of least-norm generalized monosplines induced by log-concave weight-functions N. Dyn 289 On upper bounds for the number of extrema of Chebyshev alternants M.K. El-Daou and E.L. Ortiz 301 Polynomial approximation of functions continuous on [-1, 1] and analytic on (-1, 1) D. Gaier 315 On the computation of special Sobolev-type orthogonal polynomials W. Gautschi 329 On some recursive triangular systems W.M.Y. Goh, E. Schmutz and J. Wimp 343 On a measure of dissimilarity between positive definite matrices A.J. Hoffman and C.A. Micchelli 351 On computing Ax and pi^T A, when A is sparse A.J. Hoffman, W.R. Pulleyblank and J.A. Tomlin 359 The dynamics of group automorphisms B. Kitchens 369 A variational approach to optimizing linear functionals over Haar spaces A. Kroo and D. Schmidt 393 Weighted polynomial approximation of some entire functions on the real line A. Kroo, J. Szabados and R.S. Varga 405 On monotone and convex approximation by splines with free knots D. Leviatan and A. Shadrin 415 On optimal Pade-type cuts A.P. Magnus 435 Subdivision schemes with non-negative masks converge always -- unless they obviously cannot? A.A. Melkman 451 On a measure of dissimilarity for normal probability densities C.A. Micchelli 461 A splitting problem D.J. Newman 479 Fast multipoint polynomial evaluation and interpolation via computations with structured matrices V.Y. Pan, A. Zheng, X. Huang and Y. Yu 483 Bernstein polynomials based on the q-integers G.M. Phillips 511 A new iterative algorithm for thin plate spline interpolation in two dimensions M.J.D. Powell 519 The Fundamental Theorem of Linear Programming applied to certain extremal problems for polynomials M.A. Qazi and Q.I. Rahman 529 Optimal recovery in translation-invariant spaces of functions R. Schaback 547 The Chebyshev constant of a linear set H.S. Shapiro 557 On the zeros of generalized Jacobi polynomials P. Vertesi 561 Smoothing spline ANOVA fits for very large, nearly regular data sets, with application to historical global climate data G. Wahba and Z. Luo 579 Measurable entire functions B. Weiss 599 Strong tractability of weighted tensor products H. Wozniakowski 607 Summability of certain product ultraspherical orthogonal series in several variables Y. Xu 623 Author index 639

Back to Home Page of

SIAM AG on Orthogonal Polynomials and Special Functions

Page maintained by Martin Muldoon