Boris Shekhtman

Selected Publications:

 

 

  1. On a Conjecture of Tomas Sauer Regarding Nested Ideal Interpolation. [PDF]

 

  1. On the Limits Of Lagrange Projectors [PDF]

 

  1. [PDF (07,1)] Bivariate Ideal Projectors and their Perturbations, Advances in Computational Mathematics

 

  1. [PDF (1)]On a Conjecturs of Carl de Boor Regarding the Limits of Lagrange Interpolants, Constructive Approximation, Volume 24, Number 3, (2006), 365—370

 

  1. [PDF (3)] (with Rakhmanov, Evguenii) On discrete norms of polynomials. J. Approx. Theory 139 (2006), no. 1-2, 2—7

 

  1. [PDF (2)]Interpolation by polynomials in several variables. Approximation theory, X (St. Louis, MO, 2001), 367--372, Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, 2002.

 

  1. [PDF (3)] On the divergence of polynomial interpolation in the complex plane. Constr. Approx. 17 (2001), no. 3, 455--463.

 

  1. [PDF (4)] (with Ivanov, Ivan V.), Linear discrete operators on the disk algebra. Proc. Amer. Math. Soc. 129 (2001), no. 7, 1987—1993

 

  1. [PDF (5)] (with Chalmers, B. L.) A two-dimensional Hahn-Banach theorem. Proc. Amer. Math. Soc. 129 (2001), no. 3, 719—724

 

  1. [PS (4)] (with Clark, W. Edwin; Suen, Stephen; Fisher, David C.) Upper bounds for the domination number of a graph. Congr. Numer. 132 (1998), 99—123

 

  1. [PDF (5)] (with Clark, W. Edwin; McColm, Gregory L.) An application of spanning trees to $k$-point separating families of functions. J. London Math. Soc. (2) 58 (1998), no. 2, 297--310.

 

  1. [PDF (2)]On the strong form of the Faber theorem. Stochastic processes and functional analysis (Riverside, CA, 1994), 215--218, Lecture Notes in Pure and Appl. Math., 186, Dekker, New York, 1997.

 

 

  1. [PDF (4)] (with Clark, W. Edwin), Covering by complements of subspaces. II. Proc. Amer. Math. Soc. 125 (1997), no. 1, 251--254.

 

  1. [PDF (2)] (with Borwein, Peter B.), The density of rational functions in Markov systems: a counterexample to a conjecture of D. J. Newman. Constr. Approx. 9 (1993), no. 1, 105--110.

 

  1. [PDF (5)] Discrete approximating operators on function algebras. Constr. Approx. 8 (1992), no. 3, 371--377.

 

  1. [PDF (2)] Some Simple Open Problems on Interpolation of Individual Functions, Constructive Theory of Functions, Varna (1992), 259—268.

 

  1. [PDF (6)] (with Gierz, Gerhard),On Archimedean ordered vector spaces and a characterization of simplices. Proc. Amer. Math. Soc. 116 (1992), no. 2, 369--375.

 

  1. [(4)] (with Pan, K. C.), On minimal interpolating projections and trace duality. J. Approx. Theory 65 (1991), no. 2, 216--230.

 

  1.  [(1)] (with Saff, E. B.), Interpolatory properties of best $L\sb 2$-approximants. Indag. Math. (N.S.) 1 (1990), no. 4, 489--498.

 

  1.  [PDF (2)] On a problem of G. G. Lorentz regarding the norms of Fourier projections. Proc. Amer. Math. Soc. 108 (1990), no. 1, 187--190.

 

  1. [(2)] (with Gierz, Gerhard), On duality in rational approximation. Rocky Mountain J. Math. 19 (1989), no. 1, 137--143.

 

  1.  [PDF]On the norms of interpolating operators. Israel J. Math. 64 (1988), no. 1, 39--48.

 

 

  1. [PDF (1)] (with Gierz, Gerhard) A duality principle for rational approximation. Pacific J. Math. 125 (1986), no. 1, 79--92.

 

  1. [PDF (3)] (with Chalmers, Bruce L.), Minimal projections and absolute projection constants for regular polyhedral spaces. Proc. Amer. Math. Soc. 95 (1985), no. 3, 449—452.

 

  1. [(1)] Unconditional convergence of abstract splines. J. Approx. Theory 30 (1980), no. 3, 237--246.

 

  1. (2)] Some remarks on approximation in $C(\Omega )$. Approximation theory, III (Proc. Conf., Univ. Texas, Austin, Tex., 1980), pp. 829--836, Academic Press, New York-London, 1980.

 

  1.  [(3)] The limits of abstract splines. Numer. Funct. Anal. Optim. 2 (1980), no. 5, 375--385.