Boris Shekhtman

Rational  Approximation

 

  1. [PDF (1)] On the density principle for rational functions. Numer. Algorithms 25 (2000), no. 1-4, 341—346.

 

  1.  [PDF (1)] Another note on polynomial vs. rational approximation. J. Approx. Theory 85 (1996), no. 3, 343—347.

 

  1.  [(1)]Duality principle in linearized rational approximation. Methods of approximation theory in complex analysis and mathematical physics (Leningrad, 1991), 173--177, Lecture Notes in Math., 1550, Springer, Berlin, 1993.

 

  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. ([(7)](with Borwein, P. B.) Corrigendum: "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;]. Constr. Approx. 11 (1995), no. 1, 139.)

 

  1. [PDF (1)] On rational bases. Approximation theory VI, Vol. II (College Station, TX, 1989), 589--592, Academic Press, Boston, MA, 1989.

 

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

 

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

 

  1. [PDF (4)] (with Gierz, Gerhard), On approximation by rationals from a hyperplane. Proc. Amer. Math. Soc. 96 (1986), no. 3, 452--454.