On Erdos-Lax Inequality for the Class of Composite ˝ Polynomials
- Department of Mathematics, Sharda University Gr Noida UP, 201310, India
Received: 2024-10-11
Revised: 2024-12-22
Accepted: 2025-02-13
Published in Issue 2025-06-30
Copyright (c) 2025 Bashir Ahmad Ganie, Varun Mohan, Khursheed Alam, Department of Mathematics, Government Degree College Drass, Kargil, 194102, India (Author)

This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
On Erdos-Lax Inequality for the Class of Composite ˝ Polynomials. (2025). Communications in Nonlinear Analysis, 13(1), 16-20. https://doi.org/10.57647/cna.2025.qc6k-e772
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Abstract

Keywords
- Inequalities,
- Derivative,
- Polynomial,
- Zeros
References
- [1] S. N. Bernstein. Sur la limitation des deriv ´ ees des ´
- polynomes. C. R. Acad. Sci. Paris, 190:338–340,
- 1930.
- [2] A. C. Schaeffer. Inequalities of A. Markoff and S.
- Bernstein for polynomials and related functions.
- Bull. Am. Math. Soc., 47:565–579, 1941.
- DOI: https://doi.org/10.1090/S0002-9904-1941-
- 07510-5.
- [3] P. Erdos. On extremal properties of derivative of polynomials. Ann. Math., 41:310–313, 1940.
- [4] P. D. Lax. Proof of a conjecture of P. Erdos on the ˝
- derivative of polynomial. Bull. Am. Math. Soc., 50:
- 509–513, 1944.
- DOI: https://doi.org/10.1090/S0002-9904-1944-
- 08177-9.
- [5] N. C. Ankeny and T. J. Rivlin. On a theorem of S.
- Bernstein. Pac. J. Math., 5:849–852, 1955.
- DOI: https://doi.org/10.2140/pjm.1955.5.849.
- [6] M. A. Malik. On the derivative of a polynomial. J.
- Lond. Math. Soc., 1:57–60, 1969.
- DOI: https://doi.org/10.1112/jlms/s2-1.1.57.
- [7] P. Kumar. On Erdos-Lax inequality. Comptes
- Rendus Mathematique, 360:1081–1085, 2022.
- DOI: https://doi.org/10.5802/crmath.141.
- [8] E. Laguerre. Oeuvres. Nouvelles Am. Math., 17(2),
- 1878.
10.57647/cna.2025.qc6k-e772