Foreword ....................................................... ix
R. S. Varga
Preface ........................................................ xi
Editors ........................................................ xv
Contributors ................................................. xvii
Ambikeshwar Sharma .......................................... xxiii
A. Jakimovski and J. Szabados
1. Markov-Type Inequalities for Homogeneous Polynomials on
Nonsymmetric Star-Like Domains .............................. 1
Yuliya Babenko and András Kroó
2. Local Inequalities for Multivariate Polynomials and
Plurisubharmonic Functions ................................. 17
A. Brudnyi and Yu. Brudnyi
3. The Norm of an Interpolation Operator on H∞(D) ............. 33
A. S. Cavaretta and N. Fontes-Merz
4. Sharma and Interpolation, 1993-2003:
The Dutch Connection ....................................... 45
M. G. de Bruin
5. Freeness of Spline Modules from a Divided to a Subdivided
Domain ..................................................... 59
Satya Deo and J. K. Maitra
6. Measures of Smoothness on the Sphere ....................... 75
Z. Ditzian
7. Quadrature Formulae of Maximal Trigonometric Degree of
Precision .................................................. 93
Dimiter Dryanov
8. Inequalities for Exponential Sums via Interpolation and
Turán-Type Reverse Markov Inequalities .................... 119
T. Erdélyi
9. Asymptotic Optimality in Time-Frequency Localization of
Scaling Functions and Wavelets ............................ 145
T. N. T. Goodman and S. L. Lee
10. Interpolation by Polynomials and Transcendental Entire
Functions ................................................. 173
N. K. Govil, M. A. Qazi, and Q. I. Rahman
11. Hyperinterpolation on the Sphere .......................... 213
Kerstin Hesse and Ian H. Sloan
12. Lagrange Interpolation at Lacunary Roots of Unity ......... 249
A. Jakimovski
13. A Fast Algorithm for Spherical Basis Approximation ........ 259
J. Keiner and J. Prestin
14. Direct and Converse Polynomial Approximation Theorems on
the Real Line with Weights Having Zeros ................... 287
G. Mastroianni and J. Szabados
15. Fourier Sums and Lagrange Interpolation on (0, +∞) and
(-∞,+∞) ................................................... 307
G. Mastroianni and P. Vértesi
16. On Bounded Interpolatory and Quasi-Interpolatory
Polynomial Operators ...................................... 345
H. N. Mhaskar
17. Hausdorff Strong Uniqueness in Simultaneous
Approximation. Part II .................................... 365
Devidas Pai and Indira К
18. Zeros of Polynomials Given as an Orthogonal Expansion ..... 381
Gerhard Schmeisser
19. Uniqueness of Tchebycheff Spaces and Their Ideal
Relatives ................................................. 407
Boris Shekhtman
Index ......................................................... 427
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