Research

My research deals with approximating real functions on the real line using real entire functions of order one having finite exponential type. Any solution of a particular instance of this problem usually implies the existence of optimal constants in certain related inequalities.

  • Research statement: postscript-format,

  • Thesis: Entire Function Majorants

    Articles

  • Entire Majorants via Euler-Maclaurin summation (Trans. Amer. Math. Soc. 358 No. 7 (2006), 2821-2836)
    dvi-format , postscript-format, pdf-format (no images).

  • Entire approximations to the truncated powers (Constr. Approx. 22 No.2 (2005), 273-295)
    postscript-format, pdf-format .

  • Onesided approximation by entire functions (J. Approx. Theory 141 No.1 (2006), 1-7)
    postscript-format.

  • (with P. Borwein and T. Erdelyi) Polynomials with coefficients from a finite set, Trans. Amer. Math. Soc 360 (2008) no. 10, 5145-5154.

  • Interpolation and Approximation by Entire Functions, in: M. Neamtu and L.L. Schumaker (eds.), Approximation Theory XII: San Antonio 2007. Nashboro Press 2008, 243-255
    pdf-format

  • Zeros of Bernoulli-type functions and best approximation (J. Approx. Theory, to appear)
    pdf-format

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    Friedrich Littmann
    Last modified: Mon Nov 19 16:13:01 PDT 2007