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＜E-Book＞
Chebyshev Splines and Kolmogorov Inequalities / by Sergey Bagdasarov
(Operator Theory: Advances and Applications. ISSN:22964878 ; 105)

Edition	1st ed. 1998.
Publisher	Basel : Birkhäuser Basel : Imprint: Birkhäuser
Year	1998
Language	English
Size	XIII, 210 p : online resource
Authors	*Bagdasarov, Sergey author SpringerLink (Online service)
Subjects	LCSH:Mathematics LCSH:Mathematical analysis FREE:Applications of Mathematics FREE:Analysis
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-0348-8808-0

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