Oleg Davydov's Publications: 19952010

A new version of quantitative resonance principle
and applications: Summary,
Dnepropetrovsk, 1994. PDF

A class of weak Chebyshev spaces and
characterization of best
approximations,
J. Approx. Theory 81 (1995), 250259.

Note on the approximation of functions
in Lipschitz spaces,
East J. Approx. 1 (1995), 349356.

Snake theorem for weak Descartes systems,
Ukrain. Mat. Zh. 47 (1995), 315321 [in Russian];
English translation in Ukrainian Math. J. 47
(1995), 369375.

Sequences of rectangular Fourier sums of continuous functions
with given majorants of the mixed moduli of smoothness,
Mat. Sb. 187 (1996), no.7, 3558
[in Russian];
English translation in Russian Acad. Sci. Sb. Math. 187
(1996), 9811004.

Appendix to "Best approximation by periodic smooth functions"
(by J.A.Oram),
J. Approx. Theory 92 (1998), 159166.

(with
G.Nürnberger and F.Zeilfelder) Interpolation
by splines on triangulations, in "New Developments in Approximation
Theory (IDoMAT 98)" (M.D. Buhmann, M.Felten, D.H. Mache and M.W. Müller,
Eds.), pp. 4970, ISNM 132, Birkhäuser, 1999.

Locally stable spline bases on nested triangulations,
in "Approximation Theory X: Wavelets, Splines, and Applications,"
(C.K.Chui, L.L.Schumaker, and J.Stöckler, Eds.), pp.231240, Vanderbilt
University Press, 2002.

Smooth finite elements and stable splitting,
Berichte "Reihe Mathematik" der PhilippsUniversität Marburg, 20074.
An adapted version of this article has appeared as Section 4.2.6 "Smooth FEs on polyhedral domains" of the book
K. Böhmer, Numerical Methods for Nonlinear Elliptic Differential Equations: A Synopsis,
Oxford University Press, Oxford, 2010.
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