Description du livre Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph describes advances in the theory of extremal problems in classes of functions defined by a majorizing modulus of continuity w. In particular, an extensive account is given of structural, limiting, and extremal properties of perfect w-splines generalizing standard polynomial perfect splines in the theory of Sobolev classes. In this context special attention is paid to the qualitative description of Chebyshev w-splines and w-polynomials associated with the Kolmogorov problem of n-widths and sharp additive inequalities between the norms of intermediate derivatives in functional classes with a bounding modulus of continuity. Since, as a rule, the techniques of the theory of Sobolev classes are inapplicable in such classes, novel geometrical methods are developed based on entirely new ideas. The book can be used profitably by pure or applied scientists looking for mathematical approaches to the solution of practical problems for which standard methods do not work. The scope of problems treated in the monograph, ranging from the maximization of integral functionals, characterization of the structure of equimeasurable functions, construction of Chebyshev splines through applications of fixed point theorems to the solution of integral equations related to the classical Euler equation, appeals to mathematicians specializing in approximation theory, functional and convex analysis, optimization, topology, and integral equations. 210 pp. Englisch. N� de r�f. du vendeur 9783764359843

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Chebyshev Splines and Kolmogorov Inequalities

Sergey Bagdasarov

Edit� par Springer, Berlin, Springer, Basel (1998)

ISBN 10 : 3764359846 ISBN 13 : 9783764359843

Neuf Couverture rigide Quantit� disponible : 2

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AHA-BUCH GmbH
(Einbeck, Allemagne)

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Description du livre Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph describes advances in the theory of extremal problems in classes of functions defined by a majorizing modulus of continuity w. In particular, an extensive account is given of structural, limiting, and extremal properties of perfect w-splines generalizing standard polynomial perfect splines in the theory of Sobolev classes. In this context special attention is paid to the qualitative description of Chebyshev w-splines and w-polynomials associated with the Kolmogorov problem of n-widths and sharp additive inequalities between the norms of intermediate derivatives in functional classes with a bounding modulus of continuity. Since, as a rule, the techniques of the theory of Sobolev classes are inapplicable in such classes, novel geometrical methods are developed based on entirely new ideas. The book can be used profitably by pure or applied scientists looking for mathematical approaches to the solution of practical problems for which standard methods do not work. The scope of problems treated in the monograph, ranging from the maximization of integral functionals, characterization of the structure of equimeasurable functions, construction of Chebyshev splines through applications of fixed point theorems to the solution of integral equations related to the classical Euler equation, appeals to mathematicians specializing in approximation theory, functional and convex analysis, optimization, topology, and integral equations. N� de r�f. du vendeur 9783764359843

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Chebyshev Splines and Kolmogorov Inequalities

Bagdasarov, Sergey

Edit� par Springer, Berlin|Springer, Basel (1998)

ISBN 10 : 3764359846 ISBN 13 : 9783764359843

Neuf Couverture rigide Quantit� disponible : > 20

impression � la demande

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moluna
(Greven, Allemagne)

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Description du livre Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This monograph describes advances in the theory of extremal problems in classes of functions defined by a majorizing modulus of continuity w. In particular, an extensive account is given of structural, limiting, and extremal properties of perfect w-splines . N� de r�f. du vendeur 908772803

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