Concepedia

Optimal Recovery of Functions and Their Derivatives from Inaccurate Information about the Spectrum and Inequalities for Derivatives

Georgii Georgievich Magaril-Il'yaev, K. Yu. Osipenko

Functional Analysis and Its Applications · 2003 · 39 citations · 4 references

DOI

Concepts

References

4

Optimal Estimation of Linear Operators in Hilbert Spaces from Inaccurate Data

Avraham A. Melkman, Charles A. Micchelli · SIAM Journal on Numerical Analysis · 1979 · 138 citations

, , +17

Approximation of unbounded operators by bounded operators and related extremal problems

Russian Mathematical Surveys · 1996 · 128 citations

, , +13

Optimal recovery of functions and their derivatives from Fourier coefficients prescribed with an error

Georgii Georgievich Magaril-Il'yaev, K. Yu. Osipenko · Sbornik Mathematics · 2002 · 36 citations

, , +7

Kolmogorov-type inequalities for derivatives

Georgii Georgievich Magaril-Il'yaev, V. М. Tikhomirov · Sbornik Mathematics · 1997 · 24 citations

, , +6