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Field name	Details
Dewey Class	519
Title	Chebyshev Splines and Kolmogorov Inequalities ([EBook]) / by Sergey K. Bagdasarov
Author	Bagdasarov, Sergey K. , 1969-
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser Basel , 1998
Physical Details	XIII, 210 p. : online resource.
Series	Operator theory : advances and applications ; 105
ISBN	9783034888080
Contents note	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 Properties of Chebyshev ?-Splines -- 8 Chebyshev ?-Splines on the Half-line ?+ -- 9 Maximization of Integral Functional in H?[a1, a2], -? ? a1 < a2 ? +? -- 10 Sharp Kolmogorov Inequalities in WrH?(?) -- 11 Landau and Hadamard Inequalities in WrH?(?+) and WrH?(?) -- 12 Sharp Kolmogorov-Landau inequalities in W2H?(?) AND W2H?(?+ -- 13 Chebyshev ?-Splines in the Problem of N-Width of the Functional Class WrH?[0, 1] -- 14 Function in WrH?[-1, 1] Deviating Most from Polynomials of Degree r -- 15 N-Widths of the Class WrH?[-1, 1] -- 16 Lower Bounds for the N-Widths of the Class WrH?[n] -- Appendix A Kolmogorov Problem for Functions -- A.3 Sufficient conditions of extremality in the problem (K - L) -- A.3.1 Corollaries of differentiation formulas -- A.3.2 Extremality conditions in the form of an operator equation -- A.4.2 Solution of the problem (K) -- A.4.3 Problem (K) in the Hölder classes -- B.1 Preliminary remarks -- B.2 Maximization of the norm -- B.2.1 Differentiation formulae and inequalities -- B.3 Maximization of the norm -- B.4 Maximization of the norm -- B.5 Maximization of the norm.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-8808-0
Links to Related Works	Subject References: Analysis (Mathematics) . Applications of Mathematics . Applied mathematics . Engineering mathematics . Mathematical analysis . Mathematics . Authors: Bagdasarov, Sergey K. 1969- . Corporate Authors: SpringerLink (Online service) . Series: Operator theory : advances and applications . Classification: 519 .

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Chebyshev Splines and Kolmogorov Inequalities

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