International Conference
CONSTRUCTIVE THEORY OF FUNCTIONS - 1987
VARNA, May 24 - 31, 1987

Proceedings


Contents

· Title page
· Contents (pp. 5-8)

· Andrienko, V. A. On the Rate of Approximation of Functions by Multiple Orthogonal Series (pp. 9-16)
· Angelos, J., M. Henry, E. Kaufman Jr., T. Lenker Bounds for Extended Local Lipschitz Constants (pp. 17-26)
· Barrar, R. B., H. L. Loeb A Variational Approach to Monosplines (pp. 27-32)
· Baszenski, G., F.-J. Delvos A Variant of the Krylov-Lanczos Method for Bivariate Trigonometric Interpolation (pp. 33-39)
· Belyi, V. I. On Hölder Continuity of the Riemann Mapping Function (pp. 40-46)
· Bernát, S. A Mean Value Theorem in Metric Spaces (pp. 47-49)
· Binev, P. G. Error Estimate for Box Spline Interpolation (pp. 50-55)
· Blatt, H.-P., G. G. Lorentz On a theorem of Kadec (pp. 56-64)
· Bracalova, M. On Asymptotic Behaviour of Some Conformal Strip Mappings (pp. 65-71)
· de Bruin, M. G. A Two-Point Padé Table and a Padé-2-Table (pp. 72-78)
· Ciesielski, Z. Local Spline Approximation and Nonparametric Density Estimation (pp. 79-84)
· Collatz, L., Qinghua Zheng Approximations of Singularities at Corners with Different Angles (pp. 85-91)
· Criscuolo, G., G. Mastroianni On the Approximation of the Derivatives of P.V. Integrals (pp. 92-96)
· Delvos, F.-J. Mean Approximation via Interpolation by Translation (pp. 97-103)
· Delvos, F.-J., H. Nienhaus Even Alternating Spline Quadrature Formulas (pp. 104-109)
· DeVore, R. A., V. A. Popov Interpolation of Approximation Spaces (pp. 110-119)
· Donchev, T. D. Stability Results for a Class of Nonlinear Differential Inclusions in Banach Spaces (pp. 120-126)
· Dontchev, A. L., E. M. Farkhi An Averaged Modulus of Continuity for Multivalued Maps and Its Applications to Differential Inclusions (pp. 127-131)
· Dryanov, D. On a Gaussian Quadrature Formula for Entire Functions of Exponential Type (pp. 132-137)
· Galeev, E. M. Approximation of Periodic Functions of One and Several Variables (pp. 138-144)
· Gilewicz, J., B. Truong-Van Froissart Doublets in the Pade Approximation and Noise (pp. 145-151)
· Gmelig Meyling, R. H. J. On Interpolation by Bivariate Quintic Splines of Class $C^2$ (pp. 152-161)
· Goetgheluck, P. On a Polynomial Inequality Connected with the Multivariate Markov Inequality (pp. 162-165)
· Goodman, T. N. T., A. Sharma A Modified Bernstein-Schoenberg Operator (pp. 166-173)
· Gröchenig, K. Unconditional Bases in Translation and Dilation Invariant Function Spaces on $R^n$ (pp. 174-183)
· Grozev, G., R. Uluchev A Problem on Blashke Products (pp. 184-189)
· Guo, S. S., L. C. Hsu Some Inverse Theorems for a Certain Special Class of Operators (pp. 190-193)
· Gurka, P., B. Opic A Note on n-Dimensional Hardy's Inequality (pp. 194-196)
· Heilmann, M. Commutativity of Operators from Baskakov-Durrmeyer Type (pp. 197-206)
· Heinig, H. P., G. J. Sinnamon Integral Representations of Functions in Weighted Bergman Spaces (pp. 207-213)
· Hermann, T. On the Derivatives of Positive Linear Operators (pp. 214-221)
· Hristov, V. H., K. G. Ivanov Operators for Onesided Approximation of Functions (pp. 222-232)
· Ignatov, Z. G., V. K. Kaishev Some Properties of Generalized B-Splines (pp. 233-241)
· Jacobsen, L. Approximants for Functions Represented by Limit Periodic Continued Fractions (pp. 242-250)
· Kilgore, T. Some Recent Results in Optimal Interpolation (pp. 251-259)
· Kiryakova, V. S. Generalized Fractional Integral and Fractional Derivative Representations of Hypergeometric Functions $_pF_q$ for $p=q$ or $p=q+1$ (pp. 260-269)
· Kocić, L. M. Extended Shape Preserving Approximations (pp. 270-275)
· Kon, M. A., A. G. Ramm, L. A. Raphael Applications of Operator Approximation to Fourier Analysis (pp. 276-282)
· Kutzarova, D. N. On the Drop Property of Convex Sets in Banach Spaces (pp. 283-287)
· Lee, S. L., G. M. Phillips Interpolating Polynomials on the Triangle (pp. 288-291)
· Light, W. A. Some More Uniformly Convex Spaces (pp. 292-296)
· Lorch, L., D. Russell On Some Contributions of Halász to the Turán Power-Sum Theory, II (pp. 297-304)
· Makovoz, Y. A Simple Proof of an Inequality in the Theory of n-Widths (pp. 305-308)
· Mevissen, H., R. J. Nessel, E. van Wickeren On the Sharpness of Error Bounds for Compound Quadrature Rules in the Space of Riemann Integrable Functions (pp. 309-314)
· Milovanović, G. V., I. Z. Milovanović An Extremal Problem for Polynomials with Nonnegative Coefficients. III (pp. 315-321)
· Milovanović, I. Z., G. V. Milovanović An Extremal Problem for Algebraic Polynomials with a Prescribed Zero (pp. 322-326)
· Müllenhein, G. Numerical Treatment of Two-Point Boundary Value Problems with Spline Functions (pp. 327-335)
· Müller, M. W. Saturation of a New Method of Kantorovič Type Meyer-König and Zeller Operators (pp. 336-342)
· Musielak, H. On Strong Euler Absolute $\phi$-Summability a.e. of Orthonormal Series (pp. 343-347)
· Musielak, J. On Generalized Orlicz Sequence Spaces of Fourier Coefficients for Trigonometric Gap Series. II (pp. 348-351)
· Nikolova, L. J. On the Interpolation of Some Classes of Operators Acting in Families of Banach Spaces (pp. 352-359)
· Opic, B., P. Gurka On Imbeddings of Weighted Sobolev Spaces (pp. 360-366)
· Persson, L. E. Some Elementary Inequalities in Connection with $X^p$-Spaces (pp. 367-376)
· Pick, L. Two Weights Weak Type Inequality for the Maximal Function in $L(1 + log^+L)^k$ (pp. 377-381)
· Prestin, J. Trigonometric Approximation by Euler Means (pp. 382-389)
· Quak, E. Error Estimates for the Numerical Solution of O.D.Es. by A-Methods Using the $\tau$-Modulus (pp. 390-398)
· von Radziewski, K. Bivariate Hermite Spline Interpolation (pp. 399-404)
· Rahman, Q. I., G. Schmeisser An Analogue of Turán's Quadrature Formula (pp. 405-412)
· Runck, P. O., M. Auer, G. Dvorschak Best Constants for the Simultaneous Approximation of Periodic Functions by Trigonometric Polynomials (pp. 413-419)
· Sharma, A., J. Szabados, R. S. Varga 2-Periodic Lacunary Trigonometric Interpolation: the $(0;M)$ Case (pp. 420-427)
· Sommer, M., H. Strauss Descartes Systems in Haar Subspaces (pp. 428-432)
· Sun Yongshen, Huan Daren, Fan Gensun Extremal Problems on Some Classes of Differentiable Functions (pp. 433-440)
· Takev, M. D. A Theorem of Whitney Type in $R^n$ (pp. 441-447)
· Temlyakov, V. N. Best Bilinear Approximation and Connected Questions (pp. 448-454)
· Totkov, G. A., M. S. Bazelkov On the Precision of the Polygonal Interpolation in $H^s_\omega (s\ge 2)$ (pp. 455-459)
· Tsachev, T. Finite Dimensional Approximation for a Class of Optimal Control Problems for Systems Governed by Partial Differential Equations (pp. 460-465)
· Urbański, R. On Modular and Orlicz Space over a Field with Valuation (pp. 466-470)
· Velev, G. D., B. G. Gabdulhaev Best Approximations of Solutions of Singular Integral Equations of First Kind (pp. 471-477)
· Walz, G. Numerical Computation of the Matrix Exponential (pp. 478-481)
· Waszak, A. Sets of Approximable Elements in Double Sequence Spaces (pp. 482-487)
· Xie-Chang Shen The Summation of Biorthogonal Expansion of Rational Function in the Complex Plane (pp. 488-497)
· Zheng Weixing On a Class of Approximation Operators over Local Fields (pp. 498-505)

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