On the maximum modulus of a polynomial and its derivatives
Copyright policy ) K. K. Dewan; Abdullah Mir;
On the maximum modulus of a polynomial and its derivatives
Let f(z) be an arbitrary entire function and M(f, r) = max|z|=r|f(z)|. For a polynomial P(z), having no zeros in |z| < k, k ≥ 1, Bidkham and Dewan (1992) proved max|z|=r|P′(z)| ≤ (n(r+k)n−1/(1+k)n)max|z|=1|P(z)| for 1 ≤ r ≤ k. In this paper, we generalize as well as improve upon the above inequality.
- Central University Colombia
QA1-939, Mathematics
QA1-939, Mathematics
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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