Boris Shekhtman

Classical Approximation by Polynomials

 

 

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

 

  1. [PDF (4)]Uniqueness of Tchebysheff Spaces and their Ideal Relatives, Frontiers in Interpolation and Approximation, Pure and Applied Mathematics, Chapman&Hall, (2006), 407—425.

 

  1. [PDF, (5)]On one Question of Ed Saff, Elec. Trans. Numer. Anal., Vol 25, (2006), 439—445.

 

  1.  [PDF (6)] (with Skrzypek, Les\l aw), Norming points and unique minimality of orthogonal projections. Abstr. Appl. Anal. 2006, 1—17.

 

  1. [PDF (1)]On interpolation by and Banach spaces of polynomials. Paul Erdös and his mathematics, I (Budapest, 1999, Bolyai Soc. Math. Stud., 11, János Bolyai Math. Soc., Budapest, 2002, ), 637—652.

 

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

 

  1. [PDF (1)]On the discrete norms of polynomials. Approximation theory IX, Vol. I. (Nashville, TN, 1998), 303--307, Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, 1998. 

 

  1.  [(2)](with Ivanov, Ivan), Linear discrete operators and recovery of functions. Approximation theory IX, Vol. I. (Nashville, TN, 1998), 157--164, Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, 1998.

 

9.    [PDF (1)]On simultaneous interpolation of two functions. Approximation theory VIII, Vol. 1 (College Station, TX, 1995), 515--518, Ser. Approx. Decompos., 6, World Sci. Publ., River Edge, NJ, 1995.

 

10.         [PDF (4)](with Levin, Eli), Two problems on interpolation. Constr. Approx. 11 (1995), no. 4, 513--515.

 

 

11.         [PDF (5)] Interpolation of individual functions. Concrete analysis. Comput. Math. Appl. 30 (1995), no. 3-6, 191--196.

 

12.         [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.

 

13.         [(4)] Some examples concerning projection constants. Approximation theory, spline functions and applications (Maratea, 1991), 471--476, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 356, Kluwer Acad. Publ., Dordrecht, 1992.

 

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

 

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

 

16.        [(2)] On polynomial "interpolation" in $L\sb 1$. J. Approx. Theory 66 (1991), no. 1, 24--28.

 

17.         [(3)] (with Dyn, N.; Lubinsky, D. S.) On density of generalized polynomials. Canad. Math. Bull. 34 (1991), no. 2, 202--207.

 

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

 

19.         [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.

 

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

 

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

 

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

 

23.    [(2)] (with Gierz, Gerhard) On spaces with large Chebyshev subspaces. J. Approx. Theory 54 (1988), no. 2, 155--161.

 

24.        [(1)] On the geometry of real polynomials. Approximation theory, Tampa (Tampa, Fla., 1985--1986), 161--175, Lecture Notes in Math., 1287, Springer, Berlin, 1987.

 

  1.   [(1)] On projections in $L\sb 1$ and $L\sb \infty$. Constr. Approx. 1 (1985), no. 4, 297--303.

 

  1.  [(2)] On the norms of some projections. Banach spaces (Columbia, Mo., 1984), 177--185, Lecture Notes in Math., 1166, Springer, Berlin, 1985.

 

  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.  [(4)] (with Newman, D. J.), A Losynski-Kharshiladze theorem for Müntz polynomials. Acta Math. Hungar. 45 (1985), no. 3-4, 301--303.

 

  1.  [(1)]On projections in approximation theory. Approximation theory and spline functions (St. John's, Nfld., 1983), 455--466, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 136, Reidel, Dordrecht, 1984.

 

  1. [(1)] Some classification schemes in approximation theory. Approximation theory, IV (College Station, Tex., 1983), 673--678, Academic Press, New York, 1983.

 

  1. [(2)] Why piecewise linear functions are dense in $C[0,\,1]$. J. Approx. Theory 36 (1982), no. 3, 265--267.

 

  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.