Best Approximation by Smooth Functions and Related Problems

International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique - Parametric Optimization and Approximation ◽

10.1007/978-3-0348-6253-0_5 ◽

1984 ◽

pp. 70-82 ◽

Cited By ~ 1

Author(s):

A. L. Brown

Keyword(s):

Best Approximation ◽

Smooth Functions ◽

Approximation By Smooth Functions

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Best Approximation by Smooth Functions in the Nonperiodic Case

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj-2008-38-2-433 ◽

2008 ◽

Vol 38 (2) ◽

pp. 433-444

Author(s):

Noha Eftekhari

Keyword(s):

Best Approximation ◽

Smooth Functions ◽

Approximation By Smooth Functions

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Best Approximation by Periodic Smooth Functions

Journal of Approximation Theory ◽

10.1006/jath.1997.3098 ◽

1998 ◽

Vol 92 (1) ◽

pp. 128-166 ◽

Cited By ~ 1

Author(s):

J.A. Oram ◽

V. Davydov

Keyword(s):

Best Approximation ◽

Smooth Functions

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Best approximation of certain classes of smooth functions on the real axis by splines of a higher order

Mathematical Notes ◽

10.1007/bf01139605 ◽

1990 ◽

Vol 48 (4) ◽

pp. 1038-1044 ◽

Cited By ~ 1

Author(s):

Sun Yongsheng ◽

Li Chun

Keyword(s):

Real Axis ◽

Best Approximation ◽

Higher Order ◽

Smooth Functions ◽

The Real

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Best Approximation of a Differentiation Operator on the Set of Smooth Functions with Exactly or Approximately Given Fourier Transform

Mathematical Optimization Theory and Operations Research - Lecture Notes in Computer Science ◽

10.1007/978-3-030-22629-9_30 ◽

2019 ◽

pp. 434-448

Author(s):

Vitalii V. Arestov

Keyword(s):

Fourier Transform ◽

Best Approximation ◽

Differentiation Operator ◽

Smooth Functions

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On the Best Approximation Properties of C ∞-Smooth Functions on an Interval of the Real Axis (to the Phenomenon of Unsaturated Numerical Methods)

Siberian Mathematical Journal ◽

10.1007/s11202-005-0040-z ◽

2005 ◽

Vol 46 (3) ◽

pp. 373-385 ◽

Cited By ~ 13

Author(s):

V. N. Belykh

Keyword(s):

Numerical Methods ◽

Real Axis ◽

Best Approximation ◽

Approximation Properties ◽

Smooth Functions ◽

The Real ◽

The Best Approximation

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BEST CHEBYSHEV APPROXIMATION BY SMOOTH FUNCTIONS

Quantitative Approximation ◽

10.1016/b978-0-12-213650-4.50029-5 ◽

1980 ◽

pp. 279-289

Author(s):

U. Sattes

Keyword(s):

Chebyshev Approximation ◽

Smooth Functions ◽

Approximation By Smooth Functions

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Approximation by smooth functions with no critical points on separable Banach spaces

Journal of Functional Analysis ◽

10.1016/j.jfa.2006.08.009 ◽

2007 ◽

Vol 242 (1) ◽

pp. 1-36 ◽

Cited By ~ 4

Author(s):

D. Azagra ◽

M. Jiménez-Sevilla

Keyword(s):

Banach Spaces ◽

Critical Points ◽

Smooth Functions ◽

Approximation By Smooth Functions

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Approximation by Smooth Functions in Sobolev Spaces, a Counterexample

Bulletin of the London Mathematical Society ◽

10.1112/blms/13.2.167 ◽

1981 ◽

Vol 13 (2) ◽

pp. 167-169 ◽

Cited By ~ 4

Author(s):

Torbjörn Kolsrud

Keyword(s):

Sobolev Spaces ◽

Smooth Functions ◽

Approximation By Smooth Functions

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Approximation by Smooth Functions

Calculus and Analysis in Euclidean Space - Undergraduate Texts in Mathematics ◽

10.1007/978-3-319-49314-5_7 ◽

2016 ◽

pp. 347-373

Author(s):

Jerry Shurman

Keyword(s):

Smooth Functions ◽

Approximation By Smooth Functions

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Approximation by Smooth Functions in Sobolev Spaces

Bulletin of the London Mathematical Society ◽

10.1112/blms/11.1.37 ◽

1979 ◽

Vol 11 (1) ◽

pp. 37-40 ◽

Cited By ~ 1

Author(s):

Charles J. Amick

Keyword(s):

Sobolev Spaces ◽

Smooth Functions ◽

Approximation By Smooth Functions

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