New Integral Norm Estimates of Bernstein-Type Inequalities for a Certain Class of Polynomials

New Integral Norm Estimates of Bernstein-Type Inequalities for a Certain Class of Polynomials

In this paper, we establish some results on algebraic polynomials in the complex plane that are inspired by some classical Bernstein-type inequalities that relate the sup-norm of a polynomial to that of its derivative on the unit circle. The obtained results relate the L γ -norm of the polar derivat...

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Veröffentlicht in:Indian journal of pure and applied mathematics 2020-12, Vol.51 (4), p.1357-1371
1. Verfasser: Mir, Abdullah
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Inequalities
Mathematics
Mathematics and Statistics
Numerical Analysis
Polynomials
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Zusammenfassung:In this paper, we establish some results on algebraic polynomials in the complex plane that are inspired by some classical Bernstein-type inequalities that relate the sup-norm of a polynomial to that of its derivative on the unit circle. The obtained results relate the L γ -norm of the polar derivative and the polynomial.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-020-0470-0