Some Rational Inequalities Inspired by Rahman’s Research

Xin Li (), Ram Mohapatra () and Rajitha Ranasinghe ()
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Xin Li: University of Central Florida
Ram Mohapatra: University of Central Florida
Rajitha Ranasinghe: University of Central Florida

A chapter in Progress in Approximation Theory and Applicable Complex Analysis, 2017, pp 105-127 from Springer

Abstract: 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.

Keywords: Bernstein-type inequality; Polar derivative; Zeros of a polynomial/Rational functions; 30A10; 30C10; 30E10; 30C15 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-49242-1_6

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DOI: 10.1007/978-3-319-49242-1_6

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