On a trigonometric inequality of Turán

Horst Alzer; Bent Fuglede

On a trigonometric inequality of Turán

Institut for Matematiske Fag

3 Citationer (Scopus)

Abstract

We prove the following theorem: Let m ≥ 2 be a given integer and let a, b, c be real numbers. The inequalities, hold for all integers n ≥ 2 and real numbers x ∈ (0, π) if and only if. This refines a result due to Turán.

Originalsprog	Engelsk
Tidsskrift	Journal of Approximation Theory
Vol/bind	164
Udgave nummer	11
Sider (fra-til)	1496–1500
ISSN	0021-9045
Status	Udgivet - nov. 2012

Citationsformater

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AU - Fuglede, Bent

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AB - We prove the following theorem: Let m ≥ 2 be a given integer and let a, b, c be real numbers. The inequalities, hold for all integers n ≥ 2 and real numbers x ∈ (0, π) if and only if. This refines a result due to Turán.

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JO - Journal of Approximation Theory

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On a trigonometric inequality of Turán

Abstract

Fingeraftryk

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