International Conference
CONSTRUCTIVE THEORY OF FUNCTIONS - 1984
VARNA, May 27 - June 2, 1984

Proceedings


Contents

· Title page
· Contents (pp. 5-8)

· Абилов, В. А. Приближение функций двух переменных арифметическими средними сумм Фурье-Эрмита (pp. 9-13)
· Буслаев, А. П., В. М. Тихомиров Спектры некоторых нелинейных уравнений и поперечники соболевских классов (pp. 14-17)
· Габдулхаев, Б. Г., Г. Д. Велев Наилучшие приближения решений функциональных уравнений и оптимизация чнсленных методов (pp. 18-26)
· Галеев, Э. М. Поперечники по Колмогорову некоторых классов периодических функций многих переменных (pp. 27-32)
· Джафаров, А. С. О свойствах сферического полинома наилучшего приближения (pp. 33-42)
· Динь Зунг Приближение классов функций на торе, задаваемых смешанным модулем непрерывности (pp. 43-48)
· Корнейчук, Н. П. О некоторых проблемах полиномиальной и сплайн-аппроксимации (pp. 49-60)
· Осиленкер, Б. П. О рядах Фурье по ортогональным полиномам (pp. 61-65)
· Потапов, М. К., Й. М. Шарович О приближении функций, аналитических в полосе (pp. 66-75)
· Старков, В. В. Теорема регулярности для универсальных линейноинвариантных семейств функции (pp. 76-80)
· Топурия, С. Б. О суммируемости рядов Фурье-Лапласа на сфере (pp. 81-85)
· Троянски, С. Л. О Н-свойстве и его связь с некоторыми понятиями выпуклости единичной сферы пространства Банаха (pp. 86-90)
· Федоров, В. М. Об весовой аппроксимации многочленами функций многих переменных (pp. 91-96)
· Христов, В. Х. Пространства порожденные усредненным модулем гладкости функций многих переменных (pp. 97-101)
· Abbasov, R. A. On Absolute Convergence of Fourier Transforms (pp. 102-105)
· Alexandrov, L. G. Error Estimations for Numerical Solution of Elliptic Equations (pp. 106-112)
· Aleksandrov, V. V. The Descartes' Rule and the Chebyshev's Systems (pp. 113-118)
· Andreev, A. B. Superconvergence of the FEM Approximations of Some Parabolic Equations (pp. 119-124)
· Angelov, R., S. Markov Two-Sided Approximation of the Solution of the Initial Problem for Systems of Ordinary Differential Equations Involving Inexact Data (pp. 125-127)
· Babayev, M.-B. A. A Whithney Type Theorem for Approximating by Quasipolynomials (pp. 128-139)
· Babayev, M.-B. A., A. S. Muchtarov On Approximation by Superpositions in the Mixed Norm (pp. 140-144)
· Baishanski, B. M. Given Two Spaces of Generalized Dirichlet Polynomials, which One is Closer to $x^c$? (pp. 145-149)
· Balázs, K. Lagrange Interpolation for the Completed Laguerre Abscissas (pp. 150-153)
· Bartoszewski, Z. On some Approximations in Function Spaces and Their Applications in Numerical Methods (pp. 154-158)
· Besvershenko, I. I. Some Questions on Spline-Solution Construction for Ordinary Differential Equations (pp. 159-163)
· Binev, P. G. Superconvergence in the Spline-Interpolation (pp. 164-170)
· Björck, G. Approximation of Beurling Test Functions by Entire Functions (pp. 171-172)
· Boman, J. Uniqueness Theorems for Generalized Radon Transforms (pp. 173-176)
· Boyadzieva, T., P. Boyadziev Rational Approximation of Analytic Functions (pp. 177-181)
· Bozhinov, N. S. Cauchy Convolutions and the Multiplier Problem of Root Vector Expansions (pp. 182-187)
· Braess, D., N. Dyn On the Uniqueness of Monosplines and Perfect Splines (pp. 188-193)
· Brakalova, M. A. Assymptotical Holomorphy of Some Mappings (pp. 194-196)
· Brosowski, B., G. Guerreiro Refined Kolmogorov-Criterions for Best Rational Chebyshev-Approximation (pp. 197-207)
· Cheney, E. W. Recent Progress in Multivariate Approximation (pp. 208-213)
· Ciesielski, Z. Spline Bases in Classical Function Spaces on Compact $C^\infty$ Manifolds. Part III (pp. 214-223)
· Collatz, L. Approximation of Solution of Differential Equations and of Their Derivatives (pp. 224-231)
· Cwikel, M., P. Nilsson On Calderón-Mitjagin Couples of Banach Lattices (pp. 232-236)
· Dahmen, W., C. Micchelli On the Multivariate Euler-Frobenius Polynomials (pp. 237-243)
· Dappa, H., W. Trebels Some Applications of the Subordination Principle in Fourier Analysis (pp. 244-253)
· DeBoor, C., K. Höllig., S. D. Riemenschneider On Bivariate Cardinal Interpolation (pp. 254-259)
· Dechevski, L. T. Network-Norm Error Estimation Using Interpolation of Spaces and Application to Differential Equations (pp. 260-265)
· Delvos, F.-.J. On Bivariate Hermite Trigonometric Interpolation (pp. 266-272)
· Dickmeis, W., R. J. Nessel, E. van Wickeren Some Negative Results on the Comparison of Approximation Processes (pp. 273-283)
· Dizian, Z. Derivatives of Trigonometric Polynomial Approximation (pp. 284-290)
· Djidjev, H. N. On the Hausdorff Convergence of Summative Formulae (pp. 291-297)
· Doktor, P. Smooth Functions and Zero Traces in Sobolev Space (pp. 298-299)
· Dontchev, A. L., E. M. Farkhi Error Estimates for a Discrete Approximation to Nonlinear Optimal Processes by Averaged Moduli of Smoothness (pp. 300-305)
· Drenska, N. T. The Convergence of the Difference Scheme of the Finite Element Method for the Poisson Equation in a Discrete $L_p$-Norm (pp. 306-311)
· Dryanov, D. P. On the Convergence and Saturation Problem of a Class of Discrete Linear Operators of Entire Exponential Type in $L_p(-\infty,\infty)$ Spaces (pp. 312-318)
· Dunham, C. B. Difficulties in Rational Chebyshev Approximation (pp. 319-327)
· El Hatri, M. Superconvergence in Finite Element Method for a Degenerated Boundary' Value Problem (pp. 328-333)
· Feichtinger, H. G. Tauberian Theorems on Groups and Banach Modules (pp. 334-345)
· Feschiev, I. H., M. A. Hemeamin On Some Extremal Problems for Conjugate Classes of Functions (pp. 346-351)
· Fridli, S. Bernstein-Type Inequalities with Respect to the Vilenkin-Systems (pp. 352-355)
· Godini, G. Best Approximation in Normed Almost Linear Spaces (pp. 356-363)
· Gonska, H. H. On Approximation in C(X) (pp. 364-369)
· Gróf, J. Uniform Approximation on the Whole Real Line (pp. 370-375)
· Grozev, G. R. Optimal Quadrature Formulae for Differentiable Functions (pp. 376-381)
· Gustafson, K. On the Structure of Finite Element Solenoidal Subspaces (pp. 382-391)
· Györvári, J. Cauchy Problem and Modified Lacunary Spline Functions (pp. 392-396)
· Hanin, L. G. Closed Primary Ideals and Point Derivations in Zygmund Algebras (pp. 397-402)
· Haussmann, W., K. Zeller Mixed Norm Multivariate Approximation with Blending Functions (pp. 403-408)
· Hayman, W. K. The Growth of Quasisymmetric Functions (pp. 409-415)
· Iliev, G., S. Tashev A New Estimate of the Degree of Monotone Interpolation (pp. 416-420)
· Ivanov, K. G. Approximation by Bernstein Polynomials in $L_p$ Metric (pp. 421-429)
· Jakimovski, A., D. C. Russell Hermite Spline Interpolation of Data of Power Growth (pp. 430-439)
· Karadzhov, G. E. Asymptotic Behaviour of Spectral Function for Harmonic Oscillator (pp. 439-444)
· Kindalev, B. S. Asymptotics of Error for Interpolating Splines of Even Degree (pp. 445-450)
· Kirov, G. H. Optimal Quadrature Formulae for Function Classes $W^rH_\omega$ (pp. 451-456)
· Kiryakova, V. S. An Application of Meijer's G-Function to Bessel-Type Differential Operators (pp. 457-462)
· Kocić, L. M., M. S. Stanković Dominated Approximation of Convex Functions by Positive Linear Operators (pp. 463-467)
· Kokilashvili, V. M., M. Krbec On the Boundedness of Riesz Potentials and Fractional Maximal Functions in Weighted Orlicz Spaces (pp. 468-472)
· Kokilashvili, V. M., J. Rákosník Anisotropic Maximal Inequalities with Weights (pp. 473-478)
· Kovačeva, R. Something Else About the Meromorphic Continuation of Functions (pp. 479-486)
· Kováčik, O. Some Generalization of Lebesgue and Sobolev Spaces (pp. 487-492)
· Kowalski, M. A. A Note on the General Multivariate Moment Problem (pp. 493-499)
· Krivencob, Y. P. The Theory of Non-Classical Problems of the Best Approximation (pp. 500-500)
· Kuchminskaja, C. J. On the Convergence of Two-Dimensional Continued Fractions (pp. 501-506)
· Kutzarova, D. N. On an Equivalent Norm in $L_1$ which is Uniformly Convex in Every Direction (pp. 507-512)
· Lagomasino, G. L., J. Illián A Note on Generalized Quadrature Formulas of Gauss-Jacobi Type (pp. 513-518)
· Lénárd, M. A Spline Interpolational Method for Functions of Several Variables (pp. 519-523)
· Łenski, W. On the Almost Strong Summability and Convergence of Fourier Series (pp. 524-527)
· Leopold, H.-G. On a Class of Weighted Function Spaces (pp. 528-533)
· Levin, B. J. Extremal Problems in Classes of Subharmonic Functions and Their Applications (pp. 534-543)
· Lewicki, G. An Existence Theorem for Minimal Linear Projections (pp. 544-548)
· Lorentz, R. A. Some Regular Problems of Bivariate Interpolation (pp. 549-562)
· Luh, W. The Intersection of Gronwall Methods with Nörlund and Riesz Methods (pp. 563-568)
· Máckiewicz, A. On Piecewise-Linear Approximation and Numerical Minimization of Convex Functions (Some New Optimization Algorithms II) (pp. 569-577)
· Maleev, R. P. Korovkin Theorem in Rearrangement Invariant Function Spaces (pp. 578-582)
· Marlewski, A. Powers of Bernstein-Type Operators (pp. 583-587)
· Máté, A., P. Nevai, V. Totik Mean Cesaro Summability of Orthogonal Polynomials (pp. 588-599)
· Mateljević, M., M. Pavlović $L^p$-Behaviour of Power Series with Positive Coefficients and Some Spaces of Analytic Functions (pp. 600-604)
· Milovanović, I. Z. On an Extremal Problem in Theory of Approximation (pp. 605-609)
· Miroshnichenko, V. L. Convex and Monotone Spline Interpolation (pp. 610-620)
· Müller, M. W. Optimal Knots for K-Fold Lagrangian Numerical Differentiation (pp. 621-628)
· Musielak, H. On Some Inequalities in Spaces of Integrable Functions (pp. 629-633)
· Németh, G. The Gibbs Phenomenon in Generalized Padé Approximation (pp. 634-639)
· Nikolov, K. I., L. J. Nikolova Analytic Semi-Groups of Growth $\gamma\ge 0$ and Interpolation (pp. 640-643)
· Opic, B., A. Kufner Some Inequalities in Weighted Sobolev Spaces (pp. 644-648)
· Opitz, H. U., K. Scherer A Generalization of the Padé-Approximation to $e^{-x}$ on $[0,\infty)$ (pp. 649-657)
· Pál, J. On the Dyadic Haar Derivative (pp. 658-663)
· Peetre, J. On Asplund's Averaging Method - The Interpolation (Function) Way (pp. 664-671)
· Petrushev, P. P. On the Relations Between Rational and Spline Approximation (pp. 672-674)
· Phillips, G. M., P. J. Taylor On the Estimation of Orthogonal Coefficients (pp. 675-678)
· Pleśniak, W. Again on Markov's Inequality (pp. 679-683)
· Popa, N. Some New Classes of Perfect Banach Lattices Related to the Carleman Operators and Their Adjoints (pp. 684-689)
· Popov, V. A. One Diagonal Interpolation Theorem and Its Application (pp. 690-698)
· Prestin, J. Trigonometric Interpolation of Functions of Bounded Variation (pp. 699-703)
· Proinov, P. D. Uniformly Distributed Matrices and Numerical Integration (pp. 704-709)
· Prössdorf, S., A. Rathsfeld Strongly Elliptic Singular Integral Equations with Piecewise Continuous Coefficients and the Convergence of Spline Galerkin and Collocation Methods (pp. 710-717)
· Rahman, Q. I., G. Schmeisser Uniform Approximation of the Whole Real Line (pp. 718-725)
· Ramadanov, I. P., M. L. Skwarczyński An Angle in $L^2(C)$ Determined by Two Plane Domains (pp. 726-730)
· Richter, W., E. L. Stark Constructing (Better) Trigonometrical Kernels by Removing Zeroes (pp. 731-745)
· Ries, S., R. L. Stens Approximation by Generalized Sampling Series (pp. 746-756)
· Rofe-Beketov, F. S. Spectrum Perturbations, the Kneser-Type Constants and the Effective Masses of Zones-Type Potentials (pp. 757-766)
· Runckel, H.-J. Zero-Free Regions for Polynomials with Applications to Padé-Approximants (pp. 767-771)
· Rusak, V. N. Exact Order of Best Rational Approximation on Some Classes of Periodic Functions (pp. 772-775)
· Ryll, J. Isomorphisms Between Besov Spaces and Sequence Spaces (pp. 776-781)
· Ŝarapudinov, I. I. On the Hahn Polynomials Application for the Optimal Tabulation of Functions (pp. 782-787)
· Schempp, W. Approximation in the Hardy Space $H^1(D)$ from Local Boundary Values (pp. 788-797)
· Schmeisser, H. J. Characterizations of Spaces of Sobolev Type with a Dominating Mixed Derivative by Differences (pp. 798-802)
· Schmidt, G. On Complex Spline Interpolation on the Unit Circle (pp. 803-807)
· Sendov, Bl. On a Theorem of H. Whitney (pp. 808-813)
· Siciak, J. Approximation and Interpolation by Transcendental Polynomials (pp. 814-817)
· Steinhaus, B. $L_1$ Approximation with Blending Functions (pp. 818-823)
· Still, G. On the Approximation of Holomorphic Functions by Müntz Polynomials on an Interval Away from the Origin (pp. 824-829)
· Szalay, I. On the Banach Space of Uniformly Strong Convergent Fourier Series (pp. 830-834)
· Széke1yhidi, L. $L^p$-Approximation by Splines (pp. 835-839)
· Tamrazov, P. M. Divided Differences and Moduli of Smoothness of Functions, Function Superpositions and Their Application (pp. 840-851)
· Tingfan, X. Degree of Approximation of Hermite-Fejér Interpolation Based on the Zeroes of Legendre Polynomial (pp. 852-857)
· Tonev, T. V. Generalized-Analytic Sets in the Parts of Maximal Ideal Space (pp. 858-863)
· Totkov, G. A., M. S. Bazelkov On the Convergence of Some Quadrature Processes (pp. 864-869)
· Totkov, G. A., M. S. Bazelkov Local Interpolation Splines of Odd Degree (pp. 870-875)
· Vershinin, V. V. Estimates of the Approximation of Derivatives with the Help of Smoothing Splines (pp. 876-881)
· Vértesi, P. Optimal Lebesgue Constants for Polynomial Interpolation (pp. 882-890)
· Volkov, Y. S. Divergence of Interpolating Quintic Splines (pp. 891-895)
· Waszak, A. Some Remarks on Approximable Elements in Generalised Saks Spaces (pp. 896-901)
· Winiarski, T. Limits of Algebraic Subsets of $C^n$ (pp. 902-905)
· Wronicz, Z. Moduli of Smoothness Associated with Chebyshev Systems and Approximation by L-Splines (pp. 906-916)
· Zhensykbaev, A. A. Extremal Properties of Certain Sets of Splines and Their Applications (pp. 917-927)
· Židkov, G. V. Integral Representation and Approximation of Functions on a Hyperboloid (pp. 928-935)
· Unsolved problems (pp. 936-939)


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