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 Somsuwan and Nakprasit [1]. Further, we also extend a result proved by Chanam and Dewan [2] to its polar version. Besides, our results are also found to generalize and improve some known inequalities.
Turan type inequality Polynomial Polar Derivative Maximum Modulus
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Articles |
Yazarlar | |
Erken Görünüm Tarihi | 8 Ağustos 2023 |
Yayımlanma Tarihi | 25 Ekim 2023 |
Gönderilme Tarihi | 8 Haziran 2021 |
Kabul Tarihi | 11 Nisan 2022 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 11 Sayı: 4 |
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