We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
GENERALIZATIONS OF CERTAIN WELL KNOWN INEQUALITIES FOR POLYNOMIALS.
- Authors
Jain, V. K.
- Abstract
We obtain a generalization of Bernstein's result that if p(z) and q(z) are two polynomials with degree of p(z) not exceeding that of q(z) and q(z) has all its zeros in |z| ≨ 1, with |p(z)| ≨ |q(z)|, |z| = 1, then |p'(z)| ≨ |q'(z)|, |z| = 1, and use the generalization so obtained to obtain two more generalizations. Three generalizations together turn out to be generalizations of many well known inequalities for polynomials, including Bernstein's inequality and inequality of the well known Erdös-Lax theorem.
- Subjects
GENERALIZATION; POLYNOMIALS; MATHEMATICAL equivalence
- Publication
Publications de l'Institut Mathématique, 2020, Vol 107, Issue 121, p117
- ISSN
0350-1302
- Publication type
Article
- DOI
10.2298/PIM2021117J