Research Article
Year 2025,
Volume: 46 Issue: 3, 572 - 582, 30.09.2025
Abstract
In this paper, we investigate inequalities for higher order derivatives of algebraic polynomials in weighted Lebesgue space. In doing so, using the weighted L_p-norm, we establish the growth of the modulus of the m-th derivatives of algebraic polynomials on the closure and outside of a given region of the complex plane bounded by a piecewise smooth curve with interior zero angles. As a result, we estimate the growth rate of the derivatives of algebraic polynomials on the whole complex plane depending on the parameters of the region under consideration.
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Details
| Primary Language | English |
|---|---|
| Subjects | Approximation Theory and Asymptotic Methods |
| Journal Section | Natural Sciences |
| Authors | |
| Publication Date | September 30, 2025 |
| Submission Date | June 19, 2025 |
| Acceptance Date | August 20, 2025 |
| Published in Issue | Year 2025 Volume: 46 Issue: 3 |
