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Publications of Assist. Prof. Petar Petrov, Ph. D.


  1.  Petrov, Shape preserving approximation by free knot splines, East J. Approx. 2, 1 (1996), 41-48.
  2.  P. Petrov, Three-convex approximation by free knot splines in C[0,1], Constr. Approx.14 (1998), 247-258.
  3.  P. Petrov, Asymmetrical perfect splines and optimal recovery, C. R.  Acad. Bulg. Sci.  52, #9-10 (1999), 15-18.
  4.  D. Dryanov, W. Haussmann, P. Petrov, Best one-sided L1-approximation of bivariate functions by sums of univariate ones, Arch. Math. (Basel) 75 (2000), 125-131.
  5.  B. Bojanov, P. Petrov, Gaussian interval quadrature formula, Numer. Math. 87 (2001), 625-643.
  6.  D. Dryanov, W. Haussmann, P. Petrov, Best one-sided L1-approximation by B2,1- blending functions, In: Recent progress in multivariate approximation, ISNM – 137, W. Haussmann, K. Jetter, M. Reimer (eds.), Birkhauser Verlag, Basel-Boston-Berlin, 2001, pp. 115-134.
  7.  D. Dryanov, P. Petrov, Best one-sided L1-approximation by blending functions of order (2,2),
    J. Approx. Theory  115 (2002), 72-99.
  8.  D. Dryanov, W. Haussmann, P. Petrov , Best one-sided L1-approximation by blending functions and approximate cubatures, In: Approximation theory X: Abstract and classical analysis, C. Chui, L. Schumaker, J. Stockler (eds.), Vanderbilt University Press, Nashville, TN, 2002, pp. 145-152.
  9.  B. Bojanov, P. Petrov, Uniqueness of the Gaussian interval quadrature formula, Numer. Math., 95 (2003), 53-62.
  10.  P.Petrov, A note on Whitney's theorem, East J. Approx., 9, 2 (2003), 151-156.
  11.  P. Petrov, Interpolation with restricted arc-length, Analysis in Theory and Appl.,19, 2 (2003), 153-159.
  12.  P. Petrov, A multivariate interpolation formula with applications to best one-sided L1-approximation and to discrete inequalities, East J. Appr., 9, 4 (2003), 459-468.
  13.  P. Petrov, On smooth interpolation, In: Approximation theory: A Volume Dedicated to Borislav Bojanov; D.K. Dimitrov, G. Nikolov, and R. Uluchev (eds.), Marin Drinov Academic Publishing House, Sofia, 2004, pp. 217-224.
  14.  P. Petrov, K. Jetter, Transfinite interpolation on the medians of a triangle and best L1-approximation, Arch. Math. (Basel) 84 (2005), 444-460.
  15.  P. Petrov, Some sharp inequalities for n-monotone functions, Acta Math. Hungar. 108 (2005), 37-46.
  16.  B. Bojanov, P. Petrov, Gaussian interval quadrature formula for Tchebycheff systems, SIAM J. Numer. Anal. 43 (2) (2005), 187-795.
  17.  P. Petrov, On an extremal problem about the arc-length of algebraic polynomials, Monats. Math. 147 (2) (2006), 165-171.
  18.  P. Petrov, Minimal quadrature formulae with exterior nodes, East J. Approx. 12 (2) (2006), 203-210.
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