Výsledky vyhledávání - "Barchand Chanam"

Akademický článek

On Bernstein and Turán-type integral mean estimates for polar derivative of a polynomial

Autor: Khangembam Babina Devi, Barchand Chanam

Publikováno v: Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-30 (2024)

Abstract Let p ( z ) $p(z)$ be a polynomial of degree n having no zero in | z | < k $|z|< k$ , k ≤ 1 $k\leq 1$ , then Govil [Proc. Nat. Acad. Sci., 50(1980), 50-52] proved max | z | = 1 | p ′ ( z ) | ≤ n 1 + k n max | z | = 1 | p ( z ) | , $$ \

Externí odkaz: https://doaj.org/article/6b779a2db4d445a483a0fa1d7c0621ee

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Akademický článek

Generalized and Extended Versions of Ankeny–Rivlin and Improved, Generalized, and Extended Versions of Rivlin Type Inequalities for the sth Derivative of a Polynomial

Autor: Kshetrimayum Krishnadas, Reingachan Ngamchui, Barchand Chanam

Publikováno v: Mathematics, Vol 9, Iss 8, p 887 (2021)

Let p(z) be a polynomial of degree n having no zeros in |z|<1. In this paper, we generalize and extend a well-known result proven by Ankeny and Rivlin for the sth derivative of the polynomial. Furthermore, another well-known result proven by Rivlin i

Externí odkaz: https://doaj.org/article/00fb3088e7d6478d89c8c0b752b7b52d

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Generalized Tur\'an-type Inequalities for Polar Derivative of a Polynomial

Autor: Kshetrimayum KRİSHNADAS, Thangjam SİNGH, Barchand CHANAM

Publikováno v: Mathematical Sciences and Applications E-Notes. :178-191

Let $P(z)=a_0+\sum\limits_{\nu=\mu}^na_{\nu}z^{\nu}$, $1\leq\mu\leq n$, be a polynomial of degree $n$ having all its zeros in $|z|\leq k$, $k\geq 1$. We obtain an improvement and a generalization of an inequality in polar derivative proved by Somsuwa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::90e477108c391d3b5af6cabe4e201c29
https://doi.org/10.36753/mathenot.948462

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