Frontiers in Interpolation and Approximation - Dedicated to the Memory of Ambikeshwar Sharma

Informationen zum Autor N. K. Govil, H. N. Mhaskar, Ram N. Mohapatra, Zuhair Nashed, J. Szabados Klappentext 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. Zusammenfassung Presents important results in classical analysis, wavelets, and interpolation theory. This book contains topics such as Markov inequalities for multivariate polynomials, analogues of Chebyshev and Bernstein inequalities for multivariate polynomials, and various measures of the smoothness of functions. Inhaltsverzeichnis Markov-Type Inequalities for Homogeneous Polynomials on Nonsymmetric Star-Like Domains. Local Inequalities for Multivariate Polynomials and Plurisubharmonic Functions. The Norm of an Interpolation Operator on H8(D). Sharma and Interpolation. 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 Tur´an-Type Reverse Markov Inequalities. Asymptotic Optimality in Time-Frequency Localization of Scaling Functions and Wavelets. Interpolation by Polynomials and Transcendental Entire Functions. Hyperinterpolation on the Sphere. 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,+8) and (-8,+8). On Bounded Interpolatory and Quasi-Interpolatory Polynomial Operators. Hausdorff Strong Uniqueness in Simultaneous Approximation, Part II. Zeros of Polynomials Given as an Orthogonal Expansion. Uniqueness of Tchebycheff Spaces and their Ideal Relatives. ...

Product details

• Authors: A. Brudnyi, Alfred S. Cavaretta, N. K. Govil, N. K. (Auburn University Govil, N. K. Mhaskar Govil, N.k. Govil, Narenda K. Govil, Narenda K. Mhaskar Govil, Indira K, H. N. Mhaskar, H. N. (California State University Mhaskar, Mhaskar H. N., Ram N. Mohapatra, Ram N. (University of Central Florida Mohapatra, Mohapatra Ram N., Zuhair Nashed, Zuhair (University of Central Florida Nashed, Nashed Zuhair, J. Szabados, J. (Alfred Renyi Institute of Mathematics Szabados, Szabados J., Earl Taft
• Assisted by: Zuhair Nashed (Editor of the series), Earl Taft (Editor of the series)
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 20.07.2006
• EAN: 9781584886365
• ISBN: 978-1-58488-636-5
• No. of pages: 476
• Series: Chapman & Hall/CRC Pure and Applied Mathematics; Chapman & Hall/CRC Pure and Applied Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics; MATHEMATICS / General, Mathematics