Lq-norm inequalities for the generalized derivative of a polynomial

In this paper, we aim to present some Turan-type inequalities in Lq-norm for the generalized derivative of a polynomial. We further extend these results to the generalized polar derivative. Our results besides generalizing various known results also include other inequalities as special cases.

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Publication Details

Journal
Gulf Journal of Mathematics
Published
2024-09-22
DOI
https://doi.org/10.56947/gjom.v17i2.2139
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

Lq-norm inequalities for the generalized derivative of a polynomial

Faroz Ahmad Bhat, Bashir Ahmad Ganie, Varun Mohan, Hilal Ahmad Dar
Gulf Journal of Mathematics
Mathematical Inequalities and Applications
article

Lq-norm inequalities for the generalized derivative of a polynomial

Faroz Ahmad Bhat, Bashir Ahmad Ganie, Varun Mohan, Hilal Ahmad Dar
article en

Abstract

In this paper, we aim to present some Turan-type inequalities in Lq-norm for the generalized derivative of a polynomial. We further extend these results to the generalized polar derivative. Our results besides generalizing various known results also include other inequalities as special cases.

Gulf Journal of MathematicsVol. 17(2)
University of Kashmir (IN), Sharda University (IN)
Reduced inequalities
Openalex Percentile: Top 72%
Mathematical Inequalities and Applications
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