Oleg Davydov's Publications: 1995-2010
A new version of quantitative resonance principle
and applications: Summary,
Dnepropetrovsk, 1994. PDF
A class of weak Chebyshev spaces and
characterization of best
J. Approx. Theory 81 (1995), 250-259.
Note on the approximation of functions
in Lipschitz spaces,
East J. Approx. 1 (1995), 349-356.
Snake theorem for weak Descartes systems,
Ukrain. Mat. Zh. 47 (1995), 315-321 [in Russian];
English translation in Ukrainian Math. J. 47
Sequences of rectangular Fourier sums of continuous functions
with given majorants of the mixed moduli of smoothness,
Mat. Sb. 187 (1996), no.7, 35-58
English translation in Russian Acad. Sci. Sb. Math. 187
Appendix to "Best approximation by periodic smooth functions"
J. Approx. Theory 92 (1998), 159-166.
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. 49-70, 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.231-240, Vanderbilt
University Press, 2002.
Smooth finite elements and stable splitting,
Berichte "Reihe Mathematik" der Philipps-Universität Marburg, 2007-4.
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.