A Turán-type inequality for polynomials

Abdullah Mir ()
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Abdullah Mir: University of Kashmir

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 3, 911-914

Abstract: Abstract In this paper, we consider the class of polynomials $$P(z):=\sum \limits _{j=0}^{n}c_jz^j$$ P ( z ) : = ∑ j = 0 n c j z j having all zeros in a closed disk $$|z|\le k,\text {where}~ k\ge 1$$ | z | ≤ k , where k ≥ 1 and obtain a result that improves and generalizes the results of Govil, Jain and others by using certain coefficients of P(z).

Keywords: Polynomials; Turán’s inequality; Schwarz lemma; Primary 30A10; 30C10; Secondary 30D15 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00038-3

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