What question did this study set out to answer?

This paper aims to establish new results regarding Bernstein and Turán-type inequalities for polynomials.

June 15, 2026Open MathematicsOpen Access

Improved versions of certain Bernstein and Turán-type inequalities on polynomials

View Full Paper

Ask AI

Bookmark

Authors

New results strengthen polynomial inequalities on the unit circle, suggesting sharper bounds.

This paper aims to establish new results regarding Bernstein and Turán-type inequalities for polynomials.
Utilized an improved Schwarz Lemma at the boundary proven by Mercer.
Focused on inequalities for polynomials on the unit circle in the complex plane.
Presented numerical examples to illustrate the effectiveness of the derived bounds.
The new inequalities provide sharper bounds compared to previously known results.
Established results significantly strengthen findings by various authors in the literature.
Concrete numerical examples demonstrate the improved sharpness of the derived bounds.

Laishangbam et al. (2026) studied this question.

View Full Paper

Ask AI

Bookmark