<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The goal of this paper is to generalize and refine some previous inequalities between the L<sup>P</sup>- norms of the sth derivative and of the polynomial itself, in the case when the zeros are outside of the open unit disk.</p>
</abstract>

The goal of this paper is to generalize and refine some previous inequalities between the LP- norms of the sth derivative and of the polynomial itself, in the case when the zeros are outside of the open unit disk.

Some integral inequalities for a polynomial with zeros outside the unit disk

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Some integral inequalities for a polynomial with zeros outside the unit disk"}

The goal of this paper is to generalize and refine some previous inequalities between the LP- norms of the sth derivative and of the polynomial itself, in the...

Some integral inequalities for a polynomial with zeros outside the unit disk

Publié en ligne: 30 déc. 2021

Pages: 396 - 412

DOI: https://doi.org/10.2478/ausm-2021-0024

Mots clés
s derivative of a polynomial, Rouche’s theorem, L inequalities

© 2021 Abdullah Mir, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Some integral inequalities for a polynomial with zeros outside the unit disk

Publié en ligne: 30 déc. 2021

Pages: 396 - 412

DOI: https://doi.org/10.2478/ausm-2021-0024

Mots cléss derivative of a polynomial, Rouche’s theorem, L inequalities

© 2021 Abdullah Mir, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
s derivative of a polynomial, Rouche’s theorem, L inequalities