Description du livre Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Since the introduction of the functional classes HW (lI) and WT HW (lI) and their peri odic analogs Hw (1I') and ~ (1I'), defined by a concave majorant w of functions and their rth derivatives, many researchers have contributed to the area of ex tremal problems and approximation of these classes by algebraic or trigonometric polynomials, splines and other finite dimensional subspaces. In many extremal problems in the Sobolev class W~ (lI) and its periodic ana log W~ (1I') an exceptional role belongs to the polynomial perfect splines of degree r, i.e. the functions whose rth derivative takes on the values -1 and 1 on the neighbor ing intervals. For example, these functions turn out to be extremal in such problems of approximation theory as the best approximation of classes W~ (lI) and W~ (1I') by finite-dimensional subspaces and the problem of sharp Kolmogorov inequalities for intermediate derivatives of functions from W~. Therefore, no advance in the T exact and complete solution of problems in the nonperiodic classes W HW could be expected without finding analogs of polynomial perfect splines in WT HW . 228 pp. Englisch. N� de r�f. du vendeur 9783034897815

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Chebyshev Splines and Kolmogorov Inequalities (Operator Theory: Advances and Applications, 105)

Bagdasarov, Sergey

Edit� par Birkh�user (2013)

ISBN 10 : 3034897812 ISBN 13 : 9783034897815

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California Books
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Description du livre Etat : New. N� de r�f. du vendeur I-9783034897815

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Chebyshev Splines and Kolmogorov Inequalities (Operator Theory: Advances and Applications)

Sergey Bagdasarov

Edit� par Springer (2013)

ISBN 10 : 3034897812 ISBN 13 : 9783034897815

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Description du livre Paperback. Etat : Brand New. 228 pages. 9.60x6.69x0.52 inches. In Stock. N� de r�f. du vendeur x-3034897812

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Chebyshev Splines and Kolmogorov Inequalities

Bagdasarov Sergey

Edit� par Springer (2013)

ISBN 10 : 3034897812 ISBN 13 : 9783034897815

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Description du livre Etat : New. Print on Demand pp. 228 67:B&W 6.69 x 9.61 in or 244 x 170 mm (Pinched Crown) Perfect Bound on White w/Gloss Lam. N� de r�f. du vendeur 131128186

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Chebyshev Splines and Kolmogorov Inequalities

Sergey Bagdasarov

Edit� par Springer, Basel, Birkh�user Basel, Birkh�user (2013)

ISBN 10 : 3034897812 ISBN 13 : 9783034897815

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Description du livre Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Since the introduction of the functional classes HW (lI) and WT HW (lI) and their peri odic analogs Hw (1I') and ~ (1I'), defined by a concave majorant w of functions and their rth derivatives, many researchers have contributed to the area of ex tremal problems and approximation of these classes by algebraic or trigonometric polynomials, splines and other finite dimensional subspaces. In many extremal problems in the Sobolev class W~ (lI) and its periodic ana log W~ (1I') an exceptional role belongs to the polynomial perfect splines of degree r, i.e. the functions whose rth derivative takes on the values -1 and 1 on the neighbor ing intervals. For example, these functions turn out to be extremal in such problems of approximation theory as the best approximation of classes W~ (lI) and W~ (1I') by finite-dimensional subspaces and the problem of sharp Kolmogorov inequalities for intermediate derivatives of functions from W~. Therefore, no advance in the T exact and complete solution of problems in the nonperiodic classes W HW could be expected without finding analogs of polynomial perfect splines in WT HW . N� de r�f. du vendeur 9783034897815

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Chebyshev Splines and Kolmogorov Inequalities

Sergey Bagdasarov

Edit� par Birkh�user Basel (2013)

ISBN 10 : 3034897812 ISBN 13 : 9783034897815

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Description du livre Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 0 Introduction.- 1 Auxiliary Results.- 2 Maximization of Functionals in H? [a, b] and Perfect ?-Splines.- 3 Fredholm Kernels.- 4 Review of Classical Chebyshev Polynomial Splines.- 5 Additive Kolmogorov-Landau Inequalities.- 6 Proof of the Main Result.- 7 Pr. N� de r�f. du vendeur 4319590

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