The Conference on Approximation Theory held in Poznan, August 22-26, . 1972, was organized jointly by the Mathematical Institute of the Polish Academy of Sciences and the Institute of Mathematics of the Adam Mickiewicz University. These proceedings contain part of the papers presented during the conference. This volume can be regarded in a sense as a continuation of the Proceedings of the Conference on Constructive Function Theory, Varna 1970, and the Proceedings of the Conference on Constructive Theory of Functions, Budapest 1969. z. CIESIELSKI and J. MUSIELAK LIST OF PARTICIPANTS Poland 1.…mehr
The Conference on Approximation Theory held in Poznan, August 22-26, . 1972, was organized jointly by the Mathematical Institute of the Polish Academy of Sciences and the Institute of Mathematics of the Adam Mickiewicz University. These proceedings contain part of the papers presented during the conference. This volume can be regarded in a sense as a continuation of the Proceedings of the Conference on Constructive Function Theory, Varna 1970, and the Proceedings of the Conference on Constructive Theory of Functions, Budapest 1969. z. CIESIELSKI and J. MUSIELAK LIST OF PARTICIPANTS Poland 1. J. Adamska 2. G. Albinus GDR Poland 3. J. A1brycht 4. A. Alexiewicz Poland 5. W. Arend Poland 6. V. V. Arestov USSR 7. M. -B. A. Babaev USSR 8. V. A. Baskakov USSR 9. V. 1. Belyj USSR 10. V. 1. Berdyshev USSR 11. S. Bergman USA 12. H. -P. Blatt GFR 13. J. Bochenek Poland 14. A. Borucka-Cie lewicz Poland 15. D. Braess GFR 16. W. W. Breckner Rumania 17. B. Brosowski GFR 18. Z. Ciesielski Poland 19. R. Denchev Bulgaria 20. S. Dimiev Bulgaria 21. B. Dreseler GFR 22. K. Fanta Hungary 23. T. L. Fields Canada 24. G. Freud Hungary 25. P. M. Gauthier USA 26. E. Gorlich GFR 27. M. v. Golitschek GFR 28. L. Y. Hedberg Sweden 29. T. Hedberg Sweden 30. K. H. Hoffmann GFR 31. J. Hojdar (:SSR 32. T. Iwinski Poland 33. A. Janicki Poland 34. M. Jaroszewska Poland 35. H. H. KaIlioniemi Sweden 36. M. KarpiD.
On the best approximation of the operators of differentiation and related questions.- A generalization of theorems of Korovkin on conditions for and the order of convergence of a sequence of positive operators.- On the uniform continuity of the operator of best approximation..- Stetigkeitseigenschaften von Optimierungsaufgaben und lineare Tschebyscheff-Approximation.- Spline bases in function spaces.- Saturationstheorie auf kompakten topologischen Gruppen.- Uniform approximation on closed sets by functions analytic on a Riemann surface.- Die Ableitungen der algebraischen Polynome bester Approximation.- Zur Approximationstheorie für Summationsprozesse von Fourier-Entwicklungen in Banach-Räumen: Vergleichssätze und Ungleichungen vom Bernstein-Typ.- Approximation of functions of several variables by the sums of two functions of a smaller number of variables.- The convergence of Bergman functions for a decreasing sequence of domains.- n-parametrige Halbgruppen von Operatoren in der Approximationstheorie.- On strong approximation of Fourier series.- On linear juxtaoperators.- On trigonometric interpolation with equidistant knots.- Konstruktive Approximationstheorie mit Hilfe von Jacobi-Polynomen und Kugelfunktionen.- Some decompositions of functional spaces by means of quasi-analytic functions of several variables.- Zur Theorie der saturierten Approximationsverfahren auf lokalkompakten abelschen Gruppen.- A comparison approach to direct theorems for polynomial spline approximation.- Eine Substitutionsmethode zur Bestimmung von Nikolski?-Konstanten 215.- Interpolating splines.- On the best approximation of factorized Fourier series.- On the Riesz means of Fourier-Bessel series.- Polynomial approximation and structural properties of functions defined on subsets of the complex plane..- Trigonometric interpolation polynomials which gives best order of approximation among continuously dif-ferentiable functions of certain order.- Hermite-Fejér interpolation on the Jacobi abscissas 281.- Problems.
On the best approximation of the operators of differentiation and related questions.- A generalization of theorems of Korovkin on conditions for and the order of convergence of a sequence of positive operators.- On the uniform continuity of the operator of best approximation..- Stetigkeitseigenschaften von Optimierungsaufgaben und lineare Tschebyscheff-Approximation.- Spline bases in function spaces.- Saturationstheorie auf kompakten topologischen Gruppen.- Uniform approximation on closed sets by functions analytic on a Riemann surface.- Die Ableitungen der algebraischen Polynome bester Approximation.- Zur Approximationstheorie für Summationsprozesse von Fourier-Entwicklungen in Banach-Räumen: Vergleichssätze und Ungleichungen vom Bernstein-Typ.- Approximation of functions of several variables by the sums of two functions of a smaller number of variables.- The convergence of Bergman functions for a decreasing sequence of domains.- n-parametrige Halbgruppen von Operatoren in der Approximationstheorie.- On strong approximation of Fourier series.- On linear juxtaoperators.- On trigonometric interpolation with equidistant knots.- Konstruktive Approximationstheorie mit Hilfe von Jacobi-Polynomen und Kugelfunktionen.- Some decompositions of functional spaces by means of quasi-analytic functions of several variables.- Zur Theorie der saturierten Approximationsverfahren auf lokalkompakten abelschen Gruppen.- A comparison approach to direct theorems for polynomial spline approximation.- Eine Substitutionsmethode zur Bestimmung von Nikolski?-Konstanten 215.- Interpolating splines.- On the best approximation of factorized Fourier series.- On the Riesz means of Fourier-Bessel series.- Polynomial approximation and structural properties of functions defined on subsets of the complex plane..- Trigonometric interpolation polynomials which gives best order of approximation among continuously dif-ferentiable functions of certain order.- Hermite-Fejér interpolation on the Jacobi abscissas 281.- Problems.
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