On a trigonometric inequality of Turán

Horst Alzer; Bent Fuglede

On a trigonometric inequality of Turán

Department of Mathematical Sciences

3 Citations (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.

Original language	English
Journal	Journal of Approximation Theory
Volume	164
Issue number	11
Pages (from-to)	1496–1500
ISSN	0021-9045
Publication status	Published - Nov 2012

Cite this

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title = "On a trigonometric inequality of Tur{\'a}n",

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 Tur{\'a}n.",

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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

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