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On the Erdös–Lax-Type Inequalities for Polynomials.
- Source :
- Journal of Contemporary Mathematical Analysis; Aug2024, Vol. 59 Issue 4, p290-294, 5p
- Publication Year :
- 2024
-
Abstract
- Erdös–Lax inequality relates the sup norm of the derivative of a polynomial along the unit circle to that of the polynomial itself (on the unit circle). This paper aims to extend the classical Erdös–Lax inequality to the polar derivative of a polynomial by using the extreme coefficients of the given polynomial. The obtained results not only enrich the realm of Erdös–Lax-type inequalities but also offer a promising avenue for diverse applications where these inequalities play a pivotal role. To illustrate the practical significance of our results, we present a numerical example. It vividly demonstrates that our bounds are considerably sharper than the existing ones in the extensive literature on this captivating subject. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10683623
- Volume :
- 59
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Journal of Contemporary Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 178953047
- Full Text :
- https://doi.org/10.3103/S1068362324700195