Enhanced Turan-type Inequalities for Polynomials

被引：0
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作者：
Reingachan, N. [1 ]
Soraisam, Robinson [1 ]
Devi, Khangembam Babina [1 ]
Singh, M. Singhajit [1 ]
Chanam, Barchand [2 ]
机构：
[1] Department of Mathematics, National Institute of Technology Manipur, Langol, 795004, India
[2] Department of Mathematics, National Institute of Technology Manipur, Langol, 795004, India
来源：
IAENG International Journal of Applied Mathematics | 2024年 / 54卷 / 07期
关键词：
Maximum modulus - Romania - Schwarz lemma - Turan-type in-equality - Zero;
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摘要：
If p(z) = (Formula presented.)Xn ν=0 aνz ν is a polynomial of degree n having all its zeros in (Formula presented.), Jain [Bull. Math. Soc. Sci. Math. Roumania Tome, 59(2016), 339-347] proved (Formula presented.), where (Formula presented.). In this paper, we initially derive a generalized form that not only encompasses but also enhances the aforementioned inequality. Additionally, we extend this formulation to a more comprehensive result, thereby producing an improved outcome for certain established inequalities as a specific instance. © (2024), (International Association of Engineers). All Rights Reserved.
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页码：1264 / 1269
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