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Approximation theory
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641	Part III - Lent Term[removed]Approximation Theory – Lecture[removed]Dual functionals 15.1 Construction n Add to Reading List Source URL: www.damtp.cam.ac.uk Language: English - Date: 2005-02-27 12:05:18 Mathematics Spectral theory of ordinary differential equations Ordinary differential equations Operator theory Spectral theory
642	Part III - Lent Term[removed]Approximation Theory – Lecture 4 4 Existence and uniqueness of best approximation 4.1 Add to Reading List Source URL: www.damtp.cam.ac.uk Language: English - Date: 2005-02-27 12:04:51 Operator theory Linear algebra Quantum mechanics Spectral theory Group theory Vector space Hilbert space Convex function Spectral theory of ordinary differential equations Algebra Mathematics Mathematical analysis
643	Part III - Lent Term[removed]Approximation Theory – Lecture[removed]B-splines (cont[removed]Basic properties of B-splines Definition[removed]Curry, Schoenberg1[removed]Given k, n ∈ N, and a knot sequence Add to Reading List Source URL: www.damtp.cam.ac.uk Language: English - Date: 2005-02-27 12:05:14 Numerical analysis Splines Combinatorics Integer sequences Number theory B-spline Recurrence relation Factorial Chebyshev polynomials Mathematics Mathematical analysis Interpolation
644	ON LINEAR COMBINATIONS OF UNITS WITH BOUNDED COEFFICIENTS AND DOUBLE-BASE DIGIT EXPANSIONS ¨ DANIEL KRENN, JORG THUSWALDNER, AND VOLKER ZIEGLER Add to Reading List Source URL: finanz.math.tu-graz.ac.at Language: English - Date: 2012-05-21 07:47:57 Algebraic number theory Field theory Algebraic integer Integers Algebraic number field Diophantine approximation Discriminant of an algebraic number field Auxiliary function Mathematics Abstract algebra Mathematical analysis
645	Part III - Lent Term[removed]Approximation Theory – Lecture 7 7 Chebyshev polynomials 7.1 Basic properties Definition 7.1 Chebyshev polynomial of degree n is defined as Add to Reading List Source URL: www.damtp.cam.ac.uk Language: English - Date: 2005-02-27 12:04:59 Orthogonal polynomials Approximation theory Chebyshev polynomials Polynomials Trigonometry Numerical analysis Mathematical analysis Mathematics
646	Part III - Lent Term[removed]Approximation Theory 1. Course description Here is the content of the course as it was given the year before, but I am planning some changes in the second half. Add to Reading List Source URL: www.damtp.cam.ac.uk Language: English - Date: 2005-01-19 14:08:49 Mathematical analysis Splines Polynomials B-spline Bernstein polynomial Carl R. de Boor Approximation theory Lagrange polynomial Chebyshev polynomials Interpolation Numerical analysis Mathematics
647	Part III - Lent Term[removed]Approximation Theory – Lecture[removed]Dual functionals (cont[removed]Quasi-interpolants and degree of spline approximation We may reformulate Theorem 15.5 in the following way. Add to Reading List Source URL: www.damtp.cam.ac.uk Language: English - Date: 2005-02-27 12:05:20 Imaging Interpolation Splines B-spline
648	Part III - Lent Term[removed]Approximation Theory – Lecture[removed]B-splines 12.1 Splines Definition[removed]Splines) Let N, k ∈ N, and let ∆∗ be a knot sequence Add to Reading List Source URL: www.damtp.cam.ac.uk Language: English - Date: 2005-02-27 12:05:12 Interpolation Calculus Continuous function .tk Lagrange polynomial Mathematical analysis Polynomials Mathematics
649	Part III - Lent Term[removed]Approximation Theory – Lecture[removed]B-splines (cont[removed]B-splines as basis functions Definition 14.1 Given ∆ = (ti )n+k Add to Reading List Source URL: www.damtp.cam.ac.uk Language: English - Date: 2005-02-27 12:05:16 Mathematical analysis Mathematics Polynomials B-spline Interpolation Numerical analysis Splines
650	Part III - Lent Term[removed]Approximation Theory – Lecture[removed]Degree of trigonometric approximation (cont[removed]Approximation of functions from Lipschitz spaces Definition 11.1 The Lipschitz space Lip α, 0 < α ≤ Add to Reading List Source URL: www.damtp.cam.ac.uk Language: English - Date: 2005-02-27 12:05:09 Continuous function Ordinal number Fourier analysis Operator theory Classical mechanics Trigonometry Symbol Spectral theory of ordinary differential equations Mathematical analysis Mathematics Calculus

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