Glasnik matematički, Vol. 35 No. 2, 2000.
Original scientific paper
An improved inequality for k-th derivative of a polynomial
V. K. Jain
Abstract
For a polynomial p(z) of degree n, we have obtained a refinement of the well known Bernstein's inequality
max|z|=1 |p(k)(z)| ≤ n(n -1)(n -2)(n -k+1) max|z|=1 |p(z)|.
Keywords
Inequality; zeroes; k-th derivative
Hrčak ID:
4872
URI
Publication date:
1.12.2000.
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