Alexei Shadrin - Recent articles

• The L^\infty-norm of the L^2-spline-projector is bounded independently of the knot sequence.
  A proof of de Boor's conjecture,
  IGPM preprint 185 (2000).
   
• On $L_p$-boundedness of the $L_2$-projector onto finite element space,
  a manuscript.
   
• On L^infty-boundedness of the L^2-projector onto splines with multiple knots,
  IGPM preprint 157 (1998).
   
• New upper bound for the B-spline basis condition number II.
  A proof of de Boor's 2^k conjecture (with K.Scherer)
  J. Approx. Theory 99 (1999), 217-229.
   
• On a problem of C. de Boor for multivariate D^m-spline
  Proc. Steklov Math. Institut 219 (1997), 413-446
  = Trudy MI RAN 219 (1997), 420-452 (click here for the Russian version).
   
• A note on the least constant in Landau inequality on a finite interval,
  in: ``Recent Progress in Inequalities'' (G.V.Milovanovic, Ed.), Kluwer Acad. Publisher, 1998, 489-491.
   
• On monotone and convex approximation by splines with free knots (with D.Leviatan),
  Annals of Numerical Mathematics 4 (1997), 415-434.
   
• New upper bound for the B-spline basis condition number (with K.Scherer),
  East Journal on Approximation 2 (1996), 331-342.