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Some Rational Inequalities Inspired by Rahman’s Research

In: Progress in Approximation Theory and Applicable Complex Analysis

Author

Listed:
  • Xin Li

    (University of Central Florida)

  • Ram Mohapatra

    (University of Central Florida)

  • Rajitha Ranasinghe

    (University of Central Florida)

Abstract

This paper describes three instances of our research activity in rational inequalities inspired by Professor Rahman’s research. The results include Bernstein-type inequalities for rational functions with prescribed poles, comparison inequalities for rational functions, and integral inequalities with prescribed poles and prescribed zeros.

Suggested Citation

  • Xin Li & Ram Mohapatra & Rajitha Ranasinghe, 2017. "Some Rational Inequalities Inspired by Rahman’s Research," Springer Optimization and Its Applications, in: Narendra Kumar Govil & Ram Mohapatra & Mohammed A. Qazi & Gerhard Schmeisser (ed.), Progress in Approximation Theory and Applicable Complex Analysis, pages 105-127, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-49242-1_6
    DOI: 10.1007/978-3-319-49242-1_6
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    Cited by:

    1. Guy Baudelle & Sébastien Bourdin & Louis-Thibault Buron & Clément Marinos, 2023. "Third Places in France: what Role for Areas Outside the Metropolis? [Les tiers-lieux en France : quelle place pour les zones hors métropole ?]," Post-Print hal-04302219, HAL.

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