International Conference
CONSTRUCTIVE THEORY OF FUNCTIONS - 2010
SOZOPOL, June 3 - 10, 2010

In memory of Borislav Bojanov

Proceedings


Contents

· Title page
· Preface (p. i)
· Borislav Dechev Bojanov - In Memoriam, Curriculum Vitae, List of Publications (pp. iii-xxiii)
· Scientific Program of the Conference (pp. xxiv-xxviii)
· Participants in the Conference CTF-2010 (pp. xxix-xxxii)
· Contents (pp. xxxiii-xxxv)

· U. Abel and P. Butzer Old and New Results on the Favard Operator (pp. 1-8)
· A. Alexandrov and G. Nikolov An Inequality of Duffin-Schaeffer Type for Hermite Polynomials (pp. 9-20)
· R. Anguelov and I. Fabris-Rotelli Locally Monotone Approximations of Real Functions on Graphs (pp. 21-29)
· V. Arestov Sharp Integral Inequalities for Trigonometric Polynomials (pp. 30-45)
· B. Bojanov and C. Jayne Surface Approximation by Piece-Wise Harmonic Functions (pp. 46-52)
· L. Dechevsky Smooth Convex Resolution of Unity on General Partitions of Multidimensional Domains and Multivariate Hermite Interpolation on Scattered Point Sets Using Radial Generalized Expo-Rational B-splines (pp. 53-68)
· D. Dimitrov A Late Report on Interlacing of Zeros of Polynomials (pp. 69-79)
· B. Draganov Estimating the Rate of Best Trigonometric Approximation in Homogeneous Banach Spaces by Moduli of Smoothness (pp. 80-92)
· I. Georgieva, C. Hofreither and R. Uluchev Interpolation of Mixed Type Data by Bivariate Polynomials (pp. 93-107)
· U. Goginava and L. Gogoladze Strong Convergence of Cubic Partial Sums of Two-Dimensional Walsh-Fourier Series (pp. 108-117)
· A. Goncharov Kolmogorov-Landau Functions (pp. 118-125)
· H. Hakopian On Recent Progress in Gasca-Maeztu Conjecture (pp. 126-140)
· M. Heilmann and M. Wagner Strong Converse Results for Baskakov-Durrmeyer Operators (pp. 141-149)
· K. Ivanov and P. Parvanov Weighted Approximation by Meyer-König and Zeller-Type Operators (pp. 150-160)
· V. Kostov Geometric Properties of Mappings Connected with the Schur-Szegö Composition of Polynomials (pp. 161-167)
· O. Kounchev Infinite-dimensional Generalization of Kolmogorov Widths (pp. 168-181)
· E. Livshitz On Greedy Algorithms for Dictionary with Bounded Cumulative Coherence (pp. 182-191)
· L. Milev and N. Naidenov Interlacing Properties of Certain Tchebycheff Systems (pp. 192-200)
· L. Milev and N. Naidenov Markov Type Inequalities for Oscillating Exponential Polynomials (pp. 201-212)
· I. Moale Explicit Weighted Min-Max Polynomials on the Disc (pp. 213-226)
· G. Nikolov and A. Shadrin On Markov-Duffin-Schaeffer Inequalities with a Majorant (pp. 227-264)
· M. Qazi and Q. Rahman Some Inequalities for Functions of Exponential Type Real on the Real Axis (pp. 265-285)
· H.-J. Rack On an Extremal Property of the Chebyshev Polynomials: Maximizing Pairs of Coefficients of Bounded Polynomials (pp. 286-317)
· S. Révész Conjectures and Results on the Multivariate Bernstein Inequality on Convex Bodies (pp. 318-353)
· S. Sidorov Linear Relative n-Widths of Sets of Smooth Functions (pp. 354-362)
· M. Takev Product Cubature Formulae with Finite-Differences Error Bound (pp. 363-367)
· K. Vlachkova Error Bounds for Scattered Data Interpolation in R3 by Minimum Norm Networks (pp. 368-377)
· M. Wagner Asymptotic Expansions for a Durrmeyer Variant of Baskakov and Meyer-König and Zeller Operators and Quasi-Interpolants (pp. 378-389)
· S. Zhou Exact Condition to Generalize Monotonicity in L1-convergence of Sine Series (pp. 390-400)
· Open Problems by U. Abel, L. Dechevsky, N. Naidenov, H.-J. Rack, S. Révész (pp. 401-420)


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