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Frontiers in interpolation and approximation : dedicated to the memory of Ambikeshwar Sharma /

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Explores approximation theory, interpolation theory, and classical analysis. This covers topics such as Markov inequalities for multivariate polynomials, analogues of Chebyshev and Bernstein inequalities for multivariate polynomials, various measures of the smoothness of functions, and the equivalen...

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Bibliographic Details
Corporate Author: Taylor & Francis
Other Authors: Govil, N. K. (Narendra Kumar)
Format: eBook
Language:English
Published: Boca Raton : Chapman & Hall/CRC, ©2007.
Series:Monographs and textbooks in pure and applied mathematics ; 282.
Subjects:
Interpolation.
Approximation theory.
Théorie de l'approximation.
MATHEMATICS > General.
Approximation theory
Interpolation
Approximationstheorie
Approximationer.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Markov-type inequalities for homogeneous polynomials on nonsymmetric star-like domains / Yuliya Babenko and András Kroó
  • Local inequalities for multivariate polynomials and plurisubharmonic functions / A. Brudnyi and Yu. Brudnyi
  • The norm of an interpolation operator on H[infinity] (D) / A.S. Cavaretta and N. Fontes-Merz
  • Sharma and interpolation, 1993-2003 : the Dutch connection / M.G. de Bruin
  • Freeness of spline modules from a divided to a subdivided domain / Satya Deo and J.K. Maitra
  • Measures of smoothness on the sphere / Z. Ditzian
  • Quadrature formulae of maximal trigonometric degree of precision / Dimiter Dryanov
  • Inequalities for exponential sums via interpolation and Turán-type reverse Markov inequalities / T. Erdélyi
  • Asymptotic optimality in time-frequency localization of scaling functions and wavelets / T.N.T. Goodman and S.L. Lee
  • Interpolation by polynomials and transcendental entire functions / N.K. Govil, M.A. Qazi, and Q.I. Rahman
  • Hyperinterpolation on the sphere / Kerstin Hesse and Ian H. Sloan
  • Lagrange interpolation at lacunary roots of unity / A. Jakimovski
  • A fast algorithm for spherical basis approximation / J. Keiner and J. Prestin
  • Direct and converse polynomial approximation theorems on the real line with weights having zeros / G. Mastroianni and J. Szabados
  • Fourier sums and Lagrange interpolation on (0,+[infinity]) and ( -[infinity], +[infinity]) / G. Mastroianni and P. Vértesi
  • On bounded interpolatory and quasi-interpolatory polynomial operators / H.N. Mhaskar
  • Hausdorff strong uniqueness in simultaneous approximation, part 2 / Devidas Pai and Indira K
  • Zeros of polynomials given as an orthogonal expansion / Gerhard Schmeisser
  • Uniqueness of Tchebycheff spaces and their ideal relatives / Boris Shekhtman.