On a Generalization of an Operator Preserving Turán-Type Inequality for Complex Polynomials

On a Generalization of an Operator Preserving Turán-Type Inequality for Complex Polynomials

Let be a polynomial of degree having all its zeros in , , then for every real or complex number with , Govil and McTume [ 7 ] showed that the following inequality holds In this paper, we have obtained a generalization of this inequality involving sequence of operators known as polar derivatives. In...

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Veröffentlicht in:Journal of contemporary mathematical analysis 2023-10, Vol.58 (5), p.341-346
Hauptverfasser: Malik, S. A., Zargar, B. A.
Format: Artikel
Sprache:eng
Schlagworte:
Complex numbers
Mathematics
Mathematics and Statistics
Operators (mathematics)
Polynomials
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Zusammenfassung:Let be a polynomial of degree having all its zeros in , , then for every real or complex number with , Govil and McTume [ 7 ] showed that the following inequality holds In this paper, we have obtained a generalization of this inequality involving sequence of operators known as polar derivatives. In addition, the problem for the limiting case is also considered.
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362323050047