Bibliography   of   Dimitar K. Dimitrov

BOOK EDITED

  • Approximation Theory: A volume dedicated to Borislav Bojanov,   Marin Drinov Academic Publishing House,   Sofia,   2004,   xiv + 338 pages   (with Geno Nikolov and Rumen Uluchev).

    • PAPERS

    Submitted papers

  • Smale's conjecture on mean values of polynomials and electrostatics

    • Accepted papers

  • Monotonicity of zeros of Jacobi polynomials, J. Approx. Theory    (with Fernando R. Rafaeli)

    • Published papers

  • Zeros of Jacobi functions of second kind, J. Comput. Appl. Math. 188 (2006), 65 - 76. (with Iván Area, Eduardo Godoy and André Ronveaux).
  • Test starlike functions for approximation by subordinate polynomials,    Math. Balkanica (New Series) 20 (2006) 239 - 244.
  • Interpolation of rational functions on a geometric mesh. in "Constructive Theory of Functions, Varna 2005"    (B. D. Bojanov, ed.), Marin Drinov Academic Publishing House,    Sofia,   2006, pp. 73 - 79.
  • Generating starlike and convex univalent functions,    Math. Balkanica (New Series), 19 (2005) 405 - 418   (with Vanessa Bertoni).
  • Extremal univalent polynomials subordinating the Koebe function,    East J. Approx., 11   (2005) 47 - 56.
  • Almost strict total positivity and a class of Hurwitz polynomials,   J. Approx. Theory, 132 (2005) 212 - 223   (with Juan Manuel Peña).
  • Extended cubature formulae of Turán type (0,2) for the ball, 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. 64 - 72    (with Guergana Petrova).
  • Asymptotics of zeros of polynomials arising from rational integrals.  J. Math. Anal. Appl.,  299 (2004) 127 - 132.
  • Zeros of Gegenbauer and Hermite polynomials and connection coefficients,   Math. Comp.  73 (2004) 1937 - 1951   (with Iván Area, Eduardo Godoy and André Ronveaux).
  • Landau and Kolmogoroff type polynomial inequalities II,   Arch. Inequal. Appl.  2 (2004)   339--353  (with Eliana X. L. de Andrade and Lisandra E. de Sousa).
  • An extremal nonnegative sine polynomial, Rocky Mountain J. Math.   33 (2003),  759 - 774   (with Roberto Andreani).
  • Convexity of the extreme zeros of Gegenbauer and Laguerre polynomials,   J. Comput. Appl. Math.  153 (2003),  171 - 180.
  • Monotonicity of zeros of orthogonal Laurent polynomials, Methods Appl. Anal.  9 (2002),  1 - 11   (with A. Sri Ranga).
  • Trapezoidal cubature formulae and Poisson's equation,  East J. Approx.   8 (2002),  229--243.
  • Chain sequences and symmetric Koornwinder polynomials,   J. Comput. Appl. Math.  143 (2002),   95-106   (with Cleonice F. Bracciali and A. Sri Ranga).
  • On the behaviour of zeros of Jacobi polynomials, J. Approx. Theory   116 (2002),   224--239   (with Romildo O. Rodriguies).
  • Extremal positive trigonometric polynomials,  in "Approximation Theory: A volume dedicated to Blagovest Sendov"   (B. Bojanov ed.),   Darba,    Sofia,   2002,   pp. 136-157.
  • Nonnegative trigonometric polynomials,  Constr. Approx. 18 (2002),   117-143   (with Clinton A. Merlo).
  • Connection coefficients and zeros of orthogonal polynomials,  J. Comput. Appl. Math. 133 (2001),  331-340.
  • Comment,  J. Comput. Appl. Math. 133 (2001),  685-686.
  • Gaussian extended cubature formulae for polyharmonic functions,   Math. Comp. 70 (2001),  671-683    (with Borislav D. Bojanov).
  • Inequalities for zeros of associated polynomials and derivatives of orthogonal polynomials,   Appl. Numer. Math.   36 (2001),  321-331    (with André Ronveaux).
  • Conjectures and theorems in the theory of entire functions,   Numer. Algorithms  25 (2000),  109 - 122   (with George Csordas).
  • Lamé differential equations and electrostatics,   Proc. Amer. Math. Soc.  128 (2000), 3621-3628    (with Walter Van Assche).
  • Landau and Kolmogoroff type polynomial inequalities,   J. Inequal. Appl.   4 (1999), 327-338    (with Claudia R. R. Alves).
  • Two new conjectures concerning positive Jacobi polynomial sums,   Rev. Colombiana Mat.  32 (1998),  133 - 142    (with Clinton A. Merlo).
  • Electrostatic interpretation and bounds for the extreme zeros of classical orthogonal polynomials,   Bull. Greek Math. Soc.   40 (1998),   43-48.
  • Counterexamples to a problem of Pólya and to a problem of Karlin,   East J. Approx.   4 (1998),   479-489.
  • Higher order Turan inequalities,   Proc. Amer. Math. Soc.   126 (1998),   2033 - 2037.
  • A refinement of the Gauss-Lucas theorem,   Proc. Amer. Math. Soc.   126 (1998),   2065-2070.
  • Characterization of generalized Bessel polynomials in terms of polynomial inequalities,   J. Math. Anal. Appl.   221 (1998),   538 - 543 (with Eliana X. L. de Andrade and A. Sri Ranga).
  • Chebyshev-Laurent polynomials and weighted approximation   in "Orthogonal Functions, Moment Theory, and Continued Fractions: Theory and Applications"   (W. B. Jones and A. Sri Ranga eds.),   Lecture Notes in Pure and Applied Mathematics 199,   Marcel Dekker,   1998,   pp. 1-14   (with Eliana X. L. de Andrade).
  • A problem of Pólya concerning polynomials which obey Descartes' rule of signs,   East J. Approx.   3 (1997),   241-250.
  • Integration of polyharmonic functions,   Math. Comp.   65 (1996),   241-250.
  • On the behaviour zeros of ultraspherical polynomials,   in ``General Seminar of Mathematics", Vol. 18-21 (1991-1995), Department of Mathematics, University of Patras, Patras, Greece, 1996,   pp. 61-66.
  • On a conjecture concerning monotonicity of zeros of ultraspherical polynomials,    J. Approx. Theory 85 (1996),   88-97.
  • Markov inequalities for weight functions of Chebyshev type,   J. Approx. Theory 83 (1995),   175-181.
  • (With George M. Phillips)   A note on convergence of Newton interpolating polynomials,   J. Comput. Appl. Math. 51 (1994),   127-130;   Erratum 51 (1994),   401.
  • Monotonous behaviour of zeros of ultraspherical polynomials, in "Open Problems in Approximation Theory" (B. Bojanov ed.), Science Culture Technology Publishing, Singapore, p.76 - 78, 1994.
  • On some weight function admitting (0,2) quadrature formulae with a high algebraic degree of precision,   Calcolo 30 (1993),   159-170.
  • Bernstein inequalities in L-2 norm,   Math. Balkanica (New Series) 7 (1993),   131-136.
  • Lacunary quadrature formulae and interpolation singularity,   J. Approx. Theory 75 (1993),   237-247.
  • Hermite interpolation by bivariate continuous super splines,   Math. Balkanica (New Series) 6 (1992),   359-366.
  • Recursion algorithm for the Birkhoff interpolation problem,   Facta Univ. Ser. Math. Infotm. 6 (1991),   51-62.
  • On a Problem of Turan: (0,2) quadrature formula with a high algebraic degree of precision,   Aequationes Math. 41 (1991),   168-171.