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Titlebook: Spline Functions and Approximation Theory; Proceedings of the S A. Meir,A. Sharma Conference proceedings 1973 Springer Basel AG 1973 Approx

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书目名称Spline Functions and Approximation Theory
副标题Proceedings of the S
编辑A. Meir,A. Sharma
视频video
丛书名称International Series of Numerical Mathematics
图书封面Titlebook: Spline Functions and Approximation Theory; Proceedings of the S A. Meir,A. Sharma Conference proceedings 1973 Springer Basel AG 1973 Approx
出版日期Conference proceedings 1973
关键词Approximation; Approximationstheorie; Spline
版次1
doihttps://doi.org/10.1007/978-3-0348-5979-0
isbn_softcover978-3-0348-5980-6
isbn_ebook978-3-0348-5979-0Series ISSN 0373-3149 Series E-ISSN 2296-6072
issn_series 0373-3149
copyrightSpringer Basel AG 1973
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Linearization in Certain Nonconvex Minimization Problems and Generalized Spline Projectionstor constraints on f, leads directly to the consideration of constrained nonconvex minimization problems in a Hilbert space and, more generally, in a Banach space. In [6] and [7] an existence and convergence theory was developed for the solutions of extremal problems of the form . where T is a (poss
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Averaging Interpolation that is, that minimizes the deviation δ(f,P) defined by the ρ. power metric (1 < ρ < ∞) with positive weights or (ρ = ∞) by max {f − P} on X, and there are at least n + 1 points on X, where the difference f − P takes alternatingly positive and negative values. When N = n the polynomial P. is the po
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Splines and Histogramslation. Moreover, and this is an important point, the data are not the usual function values that are to be interpolated, but rather approximations of the derivative (i.e. the unknown density function) in the form of a histogram. This (pershaps only apparent) difference is bridged by the ingenious a
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Stability Properties of Trigonometric Interpolation Operators fixed, and the spaces are endowed with the usual supremum norm. Any operator L: C → π which can be written in the form . with 0 ≤ s. < 2≤ and y. ε π is said to be . by the point set {s.,...,s.}. If Lx = x for all x ε π, then L is a . of C onto π. The . is defined to be the set of points t. = kπ(2n
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Saturation and Inverse Theorems for Spline Approximationline approximation in terms of the smoothness of the function. Estimates like this are customarily called direct theorems of approximation. Our main interest lies in the opposite direction, i.e., what inferences can be made about the smoothness of a function when its degree of approximation is known.
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