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Mean Convergence of Interpolation at Zeros of Airy Functions

  • Doron S. Lubinsky
Chapter

Abstract

The classical Erdős-Turán theorem established mean convergence of Lagrange interpolants at zeros of orthogonal polynomials. A non-polynomial extension of this was established by Ian Sloan in 1983. Mean convergence of interpolation by entire functions has been investigated by Grozev, Rahman, and Vértesi. In this spirit, we establish an Erdős-Turán theorem for interpolation by entire functions at zeros of the Airy function.

Notes

Acknowledgements

Research supported by NSF grant DMS1362208.

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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Georgia Institute of TechnologySchool of MathematicsAtlantaUSA

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