New Integral Norm Estimates of Bernstein-Type Inequalities for a Certain Class of Polynomials

Abdullah Mir ()
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Abdullah Mir: University of Kashmir

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 4, 1357-1371

Abstract: Abstract In this paper, we establish some results on algebraic polynomials in the complex plane that are inspired by some classical Bernstein-type inequalities that relate the sup-norm of a polynomial to that of its derivative on the unit circle. The obtained results relate the Lγ-norm of the polar derivative and the polynomial.

Keywords: Polar derivative; Bernstein-inequality; L γ-inequalities; 30A10; 30C10; 30D15 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0470-0

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