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This text describes the development of the theory of extremal functions in nonperiodic functional classes defined by a majorizing modulus of continuity. Its way of introducing new special functions and methods for solving extremal problems should make it useful for applied maths specialists.
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Chebyshev Splines and Kolmogorov Inequalities
Da: Buchpark, Trebbin, Germania
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Chebyshev Splines and Kolmogorov Inequalities
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Buch. Condizione: 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. Codice articolo 9783764359843
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Chebyshev Splines and Kolmogorov Inequalities (Operator Theory: Advances and Applications)
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Chebyshev Splines and Kolmogorov Inequalities
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Springer, Berlin, Springer, Basel, 1998
ISBN 10: 3764359846
ISBN 13: 9783764359843
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Buch. Condizione: 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. Codice articolo 9783764359843
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Chebyshev Splines and Kolmogorov Inequalities (Operator Theory: Advances and Applications)
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Chebyshev Splines and Kolmogorov Inequalities
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Springer, Berlin|Springer, Basel, 1998
ISBN 10: 3764359846
ISBN 13: 9783764359843
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Gebunden. Condizione: New. 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 . Codice articolo 908772803
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Chebyshev Splines and Kolmogorov Inequalities (Operator Theory: Advances and Applications)
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Chebyshev Splines and Kolmogorov Inequalities
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Hardcover. Condizione: Brand New. 205 pages. 9.00x6.75x0.50 inches. In Stock. Codice articolo x-3764359846
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