Inequalities for exponential sums via interpolation and Turán-type reverse Markov inequalities Chapter uri icon

abstract

  • © 2007 by Taylor & Francis Group, LLC. Interpolation was a topic in which Sharma was viewed as an almost uncontested world expert by his collaborators and many other colleagues. We survey recent results for exponential sums and linear combinations of shifted Gaussians which were obtained via interpolation. To illustrate the method exploiting the Pinkus-Smith Improvement Theorem for spans of Descartes systems, we present the proof of a Chebyshev-type inequality. Finally, in Section 6 we present three simply formulated new results concerning Turán-type reverse Markov inequalities.

author list (cited authors)

  • Erdélyi, T.

Book Title

  • Frontiers in Interpolation and Approximation

publication date

  • January 2006