Del i serien Chapman & Hall/CRC Pure and Applied Mathematics

Frontiers in Interpolation and Approximation

Inbunden, Engelska, 2006

AvN. K. Govil,H. N. Mhaskar,Ram N. Mohapatra,Zuhair Nashed,J. Szabados

4 519 kr

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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.

Produktinformation

Utgivningsdatum2006-07-20
Mått152 x 229 x undefined mm
Vikt758 g
FormatInbunden
SpråkEngelska
SerieChapman & Hall/CRC Pure and Applied Mathematics
Antal sidor476
FörlagTaylor & Francis Inc
ISBN9781584886365

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Matematik inom Naturvetenskap och teknik

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 ScalingFunctions 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.