Frontiers in interpolation and approximation : dedicated to the memory of Ambikeshwar Sharma
著者
書誌事項
Frontiers in interpolation and approximation : dedicated to the memory of Ambikeshwar Sharma
（Monographs and textbooks in pure and applied mathematics, 282）
Chapman & Hall/CRC, c2007
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注記
"Collection of papers in memory of Professor Ambikeshwar Sharma who passed away on December 22, 2003 at his home in Edmonton, Alberta, Canada"--Pref., p. xi
"Scientific papers of Ambikeshwar Sharma": p. xxiv-xliii
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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 Turan-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.
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