Operator preserving inequalities between polynomials

This paper proposes a Bn-operator and derives Bernstein-type inequalities for it, subject to specific constraints on the zeros of the underlying polynomial, yielding several notable and established results as special cases.

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Publication Details

Journal
Applicable Analysis and Discrete Mathematics
Published
2025-01-01
DOI
https://doi.org/10.2298/aadm241209016q
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00

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article

Operator preserving inequalities between polynomials

Idrees Qasim, Abdullah Mir
Applicable Analysis and Discrete Mathematics
Matrix Theory and Algorithms
article

Operator preserving inequalities between polynomials

Idrees Qasim, Abdullah Mir
article en

Abstract

This paper proposes a Bn-operator and derives Bernstein-type inequalities for it, subject to specific constraints on the zeros of the underlying polynomial, yielding several notable and established results as special cases.

Applicable Analysis and Discrete MathematicsVol. 19(2)
University of Kashmir (IN), National Institute of Technology Srinagar (IN)
Department of Atomic Energy, Government of India, National Board for Higher Mathematics, Science and Engineering Research Board
Openalex Percentile: Top 81%
Matrix Theory and Algorithms
DOIOpen Access PDFOpenAlex
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