Approximation theory : in memory of A.K. Varma
著者
書誌事項
Approximation theory : in memory of A.K. Varma
(Monographs and textbooks in pure and applied mathematics, 212)
Marcel Dekker, c1998
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
"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."
目次
- 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.
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