Abstract
For a polynomial P(z) of degree n having no zeros in |z| < 1, it was recently proved in [9] that
for every β ∈ C with |β| ≤ 1, 1 ≤ s ≤ n and |z| = 1. In this paper, we obtain the L p mean extension of the above and other related results for the sth derivative of polynomials.
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Gulzar, S. Some Zygmund type inequalities for the sth derivative of polynomials. Anal Math 42, 339–352 (2016). https://doi.org/10.1007/s10476-016-0403-7
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DOI: https://doi.org/10.1007/s10476-016-0403-7