Frontiers in Interpolation and Approximation
1st Edition
Published on 20. July 2006
Book
Hardback
476 pages
978-1-58488-636-5 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Oxford
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
Professional and scholarly
Professional
Illustrations
11 s/w Abbildungen, 5 s/w Tabellen
5 Tables, black and white; 11 Illustrations, black and white
Dimensions
Height: 229 mm
Width: 152 mm
Weight
771 gr
ISBN-13
978-1-58488-636-5 (9781584886365)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
N. K. Govil | H. N. Mhaskar | Ram N. Mohapatra
Frontiers in Interpolation and Approximation
E-Book
07/2006
1st Edition
Chapman & Hall/CRC
€337.99
Available for download
N. K. Govil | H. N. Mhaskar | Ram N. Mohapatra
Frontiers in Interpolation and Approximation
E-Book
07/2006
Chapman and Hall
€337.99
Available for download
Persons
N. K. Govil, H. N. Mhaskar, Ram N. Mohapatra, Zuhair Nashed, J. Szabados
Content
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.
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.