Approximation Theory

In Memory of A.K. Varma
1. Auflage 1998
ISBN: 978-0-8247-0185-7
Verlag: Taylor & Francis

Buch, Englisch, 548 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 907 g

Reihe: Chapman & Hall/CRC Pure and Applied Mathematics

"Contains the contributions of 45 internationally distinguished mathematicians covering all areas of approximation theory-written in honor of the pioneering work of Arun K. Varma to the fields of interpolation and approximation of functions, including Birhoff interpolation and approximation by spline functions."

Zielgruppe

Professional

Autoren/Hrsg.

Govil, Narenda

Mohapatra, Ram N.

Nashed, Zuhair

Sharma, A.

Szabados, J.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik

Inhaltsverzeichnis

Error bounds for the derivatives of Lidstone interpolation and applications; higher order univariate wavelet typed approximation; modified weighted (0.2) interpolation; new approach to Markov inequality in Lp norms; a question of reliability theory; notes on miscellaneous approximation problems; Muntz's theorem on compact subsets of positive measure; frames and Schauder bases; interpolation on spheres; nonparametric density estimation by polynomials and by splines; Birkhoff type interpolation on perturbed roots of unity; approximation by entire functions with only real zeros; nonlinear means in geometric modelling; nonlinear stationary subdivision; convex univalent functions and omitted values; total positivity and total variation; inequalities for maximum modulus of rational functions with prescribed poles; recent progress on multivariate splines; hermite interpolation on Chebyshev nodes and Walsh equiconvergence; continuous functions which change sign without properly crossing the x-axis; some remarks on weighted interpolation; a note on Chebyshev's inequality; smooth Maclaurin series coefficients in Pade and rational approximation; on Marcinkiewicz-Zygmund-type inequalities; extremal problems for restricted polynomial classes in Lp norm.

Über Autor(innen)

Narenda Govil (Auburn University, Alabama, USA) (Edited by), Ram N. Mohapatra (University of Central Florida, Orlando, USA) (Edited by), Zuhair Nashed (University of Central Florida, Orlando, USA) (Edited by), A. Sharma (University of Alberta, Edmonton, Canada) (Edited by), J. Szabados (Alfred Renyi Institute of Mathematics, Budapest, Hungary) (Edited by)