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140122 ||| eng |
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|a 9789400906730
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|a Sendov, Bl
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| 245 |
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|a Hausdorff Approximations
|h Elektronische Ressource
|c by Bl. Sendov ; edited by Gerald Beer
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| 250 |
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|a 1st ed. 1990
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| 260 |
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|a Dordrecht
|b Springer Netherlands
|c 1990, 1990
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| 300 |
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|a 388 p
|b online resource
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|a § 3.6. Approximation of nonperiodic functions by integral operators on the entire real axis -- § 3.7. Convergence of derivatives of linear operators -- § 3.8. A-distance -- § 3.9. Approximation by partial sums of Fourier series -- 4 Best Hausdorff approximations -- § 4.1. Best approximation by algebraic and trigonometric polynomials -- § 4.2. Best approximation by rational functions -- § 4.3. Best approximation by spline functions -- § 4.4. Best approximation by piecewise monotone functions -- 5 Converse theorems -- § 5.1. Existence of a function with preassigned best approximations -- § 5.2. Converse theorems for the approximation by algebraic and trigonometric polynomials -- § 5.3. Converse theorems for approximation by spline functions -- § 5.4. Converse theorems for approximation by rational and partially monotone functions -- § 5.5.Converse theorems for approximation by positive linear operators -- 6 ?-Entropy, ?-capacity and widths --
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|a 1 Elements of segment analysis -- § 1.1. Segment arithmetic -- § 1.2. Segment sequences -- § 1.3. Segment functions -- 2 Hausdorff distance -- § 2.1. Hausdorff distance between subsets of a metric space -- § 2.2. The metric space F? -- § 2.3. H-distancein A? and its properties -- § 2.4. Relationships between uniform distance and the Hausdorff distance -- § 2.5. The modulus of H-continuity -- § 2.6. The order of the modulus of H-continuity -- § 2.7. H-continuity on a subset -- § 2.8. H-distance with weight -- 3 Linear methods of approximation -- § 3.1. Convergence of sequences of positive operators -- § 3.2. The order of approximation of functions by positive linear operators -- § 3.3. Approximation of periodic functions by positive integral operators -- § 3.4. Approximation of functions by positive integral operators on a finite closed interval -- § 3.5. Approximation of functions by summation formulas on a finite closed interval --
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|a § 6.1. ?-entropy and ?-capacity of the set F?M -- § 6.2. The number of (p,q)-corridors -- § 6.3. Labyrinths -- § 6.4. ?-entropy and ?-capacity of bounded sets of connected compact sets -- § 6.5. Widths -- 7 Approximation of curves and compact sets in the plane -- § 7.1. Approximation by polynomial curves -- § 7.2. Characterization of best approximation in terms of metric dimension -- § 7.3. Approximation by piecewise monotone curves -- § 7.4. Other methods for the approximation of curves in the plane -- 8 Numerical methods of best Hausdorff approximation -- § 8.1. One-sided Hausdorff distance -- § 8.2. Coincidence of polynomials of best approximation with respect to one- and two-sided Hausdorff distance -- § 8.3. Numerical methods for calculating the polynomial of best one-sided approximation -- References -- Author Index -- Notation Index
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|a Electrical and Electronic Engineering
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| 653 |
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|a Electrical engineering
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| 653 |
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|a Computational Mathematics and Numerical Analysis
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| 653 |
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|a Approximations and Expansions
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| 653 |
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|a Mathematics / Data processing
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| 653 |
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|a Control theory
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| 653 |
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|a Systems Theory, Control
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| 653 |
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|a System theory
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| 653 |
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|a Approximation theory
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| 700 |
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|a Beer, Gerald
|e [editor]
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Mathematics and its Applications, East European Series
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| 028 |
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|a 10.1007/978-94-009-0673-0
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| 856 |
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|u https://doi.org/10.1007/978-94-009-0673-0?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 511.4
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