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Introduction to Approximation Theory 1 - NMMA565

Title:	Úvod do teorie aproximací 1
Guaranteed by:	Department of Mathematical Analysis (32-KMA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2016 to 2016
Semester:	winter
E-Credits:	3
Hours per week, examination:	winter s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	English, Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	prof. RNDr. Luboš Pick, CSc., DSc.
Class:	M Mgr. MA M Mgr. MA > Volitelné
Classification:	Mathematics > Real and Complex Analysis
Incompatibility :	NRFA074
Interchangeability :	NRFA074
Is interchangeable with:	NRFA074

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Annotation -

Last update: T_KMA (02.05.2013)

Basic course on theory of approximations. Suitable for master students of mathematical analysis.

Literature - Czech

Last update: T_KMA (02.05.2013)

E.W. Cheney:Introduction to Approximation Theory, McGraw-Hill, New York, 1966

R. DeVore, G.G. Lorentz: Constructive Approximation, Springer, Berlin, 1993

Syllabus -

Last update: doc. Mgr. Petr Kaplický, Ph.D. (09.06.2015)

Basic objectives of theory of approximation, proximinity, existence of the best approximation in normed linear spaces, convexity and its consequences, unicity of the best approximation in normed linear spaces, metric projection, interpolation of functions by polynomials, optimal distribution, the Weierstrass theorem, the Korovkin theorem, the Stone-Weierstrass theorems, Hermitte interpolation, the Fejer theorem, the Haar condition and its equivalence to the unicity of the best approximation.