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Course, academic year 2023/2024
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Introduction to Approximation Theory 2 - NMMA566
Title: Úvod do teorie aproximací 2
Guaranteed by: Department of Mathematical Analysis (32-KMA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2023
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: 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
Annotation -
Last update: T_KMA (02.05.2013)
Advanced topics in theory of approximations.
Course completion requirements - Czech
Last update: prof. RNDr. Luboš Pick, CSc., DSc. (29.09.2017)

Ke zkoušce není potřeba zápočet.

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)

The Kolmogorov theorem and its consequences, the Fenchel theorem, the Caratheodory theorem, the Rivlin-Shapiro theorem, the Chebyshev alternation theorem, the de la Vallee-Poussin theorem, Markov systems, Chebyshev polynomials, strong unicity of the best approximation, Lipschitz spaces, Marchaud inequality, direct and inverse theorems of trigonometric approximation, Jackson-type theorems, saturation classes, approximation of functions by algebraic polynomials.

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