Frontiers in Interpolation and Approximation
CRC Press, Jul 20, 2006 - Mathematics - 431 pages
Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis.
Written by authoritative international mathematicians, this book presents many important results in classical analysis, wavelets, and interpolation theory. Some topics covered are Markov inequalities for multivariate polynomials, analogues of Chebyshev and Bernstein inequalities for multivariate polynomials, various measures of the smoothness of functions, and the equivalence of Hausdorff continuity and pointwise Hausdorff-Lipschitz continuity of a restricted center multifunction. The book also provides basic facts about interpolation, discussing classes of entire functions such as algebraic polynomials, trigonometric polynomials, and nonperiodic transcendental entire functions.
Containing both original research and comprehensive surveys, this book provides researchers and graduate students with important results of interpolation and approximation.
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MarkovType Inequalities for Homogeneous Polynomials on Nonsymmetric StarLike Domains
Local Inequalities for Multivariate Polynomials and Plurisubharmonic Functions
The Norm of an Interpolation Operator on HD
The Dutch Connection
Freeness of Spline Modules from a Divided to a Subdivided Domain
Measures of Smoothness on the Sphere
Quadrature Formulae of Maximal Trigonometric Degree of Precision
Inequalities for Exponential Sums via Interpolation and TuránType Reverse Markov Inequalities
Lagrange Interpolation at Lacunary Roots of Unity
A Fast Algorithm for Spherical Basis Approximation
Direct and Converse Polynomial Approximation Theorems on the Real Line with Weights Having Zeros
Fourier Sums and Lagrange Interpolation on 0+ and +
On Bounded Interpolatory and QuasiInterpolatory Polynomial Operators
Hausdorff Strong Uniqueness in Simultaneous Approximation
Zeros of Polynomials Given as an Orthogonal Expansion
Uniqueness of Tchebycheff Spaces and Their Ideal Relatives
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Anal Approx Approximation Theory basis functions Birkhoff interpolation bounded C(Sd coefficients complex constant convergence d-complex defined degree of precision denote Department of Mathematics Email address entire function equations equiconvergence estimate exists exponential type finite Fourier function f given H. N. Mhaskar Hausdorff Hence Hermite interpolation hyperinterpolation I. J. Schoenberg ideal complement implies inequality integer interpolation problem K-functionals lacunary Lagrange interpolation Lagrange polynomial Lemma linear M. G. de Bruin Math matrix maximal trigonometric degree metric multifunction multiplicities nodes norm numerical integration rule obtain operator orthogonal polynomials Pn(Sd points polynomial interpolation polynomial of degree proof of Theorem proved quadrature formula real numbers roots of unity satisfying sequence smoothness solution sphere spherical splines subset subspace Szabados Tchebycheff spaces Theorem 2.1 tion trigono trigonometric interpolation trigonometric polynomial Turán uniformly unique zeros
Page iii - ... Lecture Notes EXECUTIVE EDITORS Earl J. Taft Rutgers University New Brunswick, New Jersey Zuhair Nashed University of Delaware Newark, Delaware CHAIRMEN OF THE EDITORIAL BOARD S.
Page iii - Donald Passman University of Wisconsin, Madison Fred S. Roberts Rutgers University David L. Russell Virginia Polytechnic Institute and State University Walter Schempp Universitat Siegen Mark Teply University of Wisconsin, Milwaukee MONOGRAPHS AND TEXTBOOKS IN PURE AND APPLIED MATHEMATICS 1.