Contents

· Title page
· Preface (p. i)
· Participants in the Conference CTF-2002 (pp. ii-xi)
· Scientific Program of the Conference (pp. xii-xviii)
· Contents (pp. xix-xxii)

Part 1. Plenary Lectures

· H. A. Hakopian A Multivariate Analog of Fundamental Theorem of Algebra and Hermite Interpolation (pp. 1-18)
· A. Kroó Classical Polynomial Inequalities in Several Variables (pp. 19-32)
· P. Petrushev Nonlinear $n$-term Approximation from Hierarchical Spline Bases (pp. 33-85)
· D. P. Dryanov, M. A. Qazi, Q. I. Rahman Entire Functions of Exponential Type in Approximation Theory (pp. 86-135)
· P. Wojtaszczyk Greedy Type Bases in Banach Spaces (pp. 136-155)
· Y. Xu Orthogonal Expansions and Weighted Approximation on the Unit Sphere (pp. 156-177)

Part 2. Contributed Talks

· F. G. Abdullayev On Some Properties of Orthogonal Polynomials over an Area with a Weight Having Singularity on the Boundary Contour (pp. 178-183)
· U. Abel, M. Ivan The Complete Asymptotic Expansion for the Gamma Operators and Their Left Quasi-Interpolants (pp. 184-189)
· V. V. Arestov Exact Jackson Inequality in $L_2$ (pp. 190-197)
· N. D. Atreas Wavelet Decomposition and Sampling for $p$-adic Multiresolution Analysis (pp. 198-204)
· V. Babenko, Yu. Babenko About Kolmogorov Type Inequalities for Functions Defined on a Half Line (pp. 205-208)
· V. Babenko, N. Korneichuck, S. Pichugov On Kolmogorov Type Inequalities for the Norms of Intermediate Derivatives of Functions of Many Variables (pp. 209-212)
· H.-P. Blatt, R. Grothmann, R. Kovacheva Alternation Points in Rational Chebyshev Approximation (pp. 213-218)
· H.-P. Blatt, R. Grothmann, R. Kovacheva Discrepancy Estimates and Rational Chebyshev Approximation (pp. 219-224)
· S. Boumova, P. Boyvalenkov, D. Danev New Nonexistence Results for Spherical Designs (pp. 225-232)
· F.-J. Delvos On Martensen Splines (pp. 233-238)
· O. A. Dovgoshey, L. L. Potomkina Analyticity of Moduli of Continuity (pp. 239-244)
· B. R. Draganov A New Modulus of Smoothness for Trigonometric Polynomial Approximation (pp. 245-250)
· D. P. Dryanov On the Disribution of the Zeros of an Entire Function of Exponential Type (pp. 251-258)
· T. Eisner Walsh-Fourier Series with Respect to Weights (pp. 259-266)
· N. L. Fernández, J. Prestin Localization of the Spherical Gauss-Weierstrass Kernel (pp. 267-274)
· M. Fornasier Decompositions of Hilbert Spaces: Local Construction of Global Frames (pp. 275-281)
· I. Gavrea A Quadratic Spline of Sendov Type (pp. 282-287)
· L. Gori, E. Santi Refinable Quasi-Interpolatory Operators (pp. 288-294)
· M. Heilmann Commutativity of Durrmeyer-Type Modifications of Meyer-König and Zeller and Baskakov-Operators (pp. 295-301)
· Á. P. Horváth Jackson Order of Approximation by Riesz Means for Freud Weights (pp. 302-308)
· A. Il'inskii, S. Ostrovska Convergence of Generalized Bernstein Polynomials Based on the $q$-Integers (pp. 309-313)
· M. Ivan, U. Abel A Pompeiu-Type Mean-Value Theorem and Divided Differences (pp. 314-319)
· K. G. Ivanov Characterization of Weighted $K$-functionals by New Moduli of Smoothness (pp. 320-326)
· K. Jetter, G. Zimmermann Constructing Polynomial Surfaces from Vector Subdivision Schemes (pp. 327-332)
· K. Kitahara, F. Shimizu, Y. Udagawa On Estimations of the Norms of the Lagrange Interpolation Operators (pp. 333-338)
· U. Luther A Note on Simultaneous Approximation (pp. 339-346)
· S. De Marchi, M. Vianello Fast Evaluation of Discrete Integral Transforms by Chebyshev and Leja Polynomial Approximation (pp. 347-353)
· Ž. Mijajlović, D. Uroŝević An Algorithm for Recognition of Linear Surfaces (pp. 354-361)
· L. Milev A Weighted Markov's Inequality on the Real Line (pp. 362-365)
· R. Păltănea Vector Variants of Some Approximation Theorems of Korovkin and of Sendov and Popov (pp. 366-373)
· M. Pap Properties of Discrete Rational Orthonormal Systems (pp. 374-379)
· G. Petrova Cubature Formulae for the Sphere and the Ball in $\mathbb{R}^n$ (pp. 380-384)
· B. Popov Entropic Schemes for Conservation Laws (pp. 385-390)
· F. Schipp Orthogonal Product Systems of Rational Functions (pp. 391-396)
· G. Schmeisser Majorization of Zeros of Polynomials (pp. 397-403)
· W. Sickel Approximate Recovery of Functions and Besov Spaces of Dominating Mixed Smoothness (pp. 404-411)
· M. S. Stanković, P. M. Rajković, S. D. Marinković Solving Equations by $q$-iterative Methods and $q$-Sendov Conjecture (pp. 412-418)
· L. Szili On Uniform Summability of Discrete (Interpolatory) Processes (pp. 419-424)
· S. Tashev Chebyshev Rational Functions (pp. 425-432)
· Ž. Tomovski Some New Integrability Classes of Fourier Coefficients (pp. 433-439)
· R. Uluchev On a Conjecture of Polynomial Zeros (pp. 440-445)
· K. Vlachkova Scattered Data Interpolation in $\mathbb{R}^3$ by Smooth Curve Networks (pp. 446-452)

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