Sharp inequalities for trigonometric sums in two variables

dc.contributor.author	Alzer, H.	en
dc.contributor.author	Koumandos, S.	en
dc.creator	Alzer, H.	en
dc.creator	Koumandos, S.	en
dc.date.accessioned	2019-12-02T10:33:33Z
dc.date.available	2019-12-02T10:33:33Z
dc.date.issued	2004
dc.identifier.uri	http://gnosis.library.ucy.ac.cy/handle/7/56412
dc.description.abstract	We prove several new inequalities for trigonometric sums in two variables. One of our results states that the double-inequality -2/3(√2 - 1) ≤ Σk=1n cos((k - 1/2)x) Sin((k - 1/2)y)/k - 1/2 ≤ 2 holds for all integers n ≥ 1 and real numbers x, y ε [0, π]. Both bounds are best possible. ©2004 University of Illinois.	en
dc.source	Illinois Journal of Mathematics	en
dc.source.uri	https://www.scopus.com/inward/record.uri?eid=2-s2.0-17044385813&partnerID=40&md5=305f53d1c13265982db96e8a4b78d989
dc.title	Sharp inequalities for trigonometric sums in two variables	en
dc.type	info:eu-repo/semantics/article
dc.description.volume	48
dc.description.issue	3
dc.description.startingpage	887
dc.description.endingpage	907
dc.author.faculty	Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.department	Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtype	Article	en
dc.description.notes	<p>Cited By :13</p>	en
dc.source.abbreviation	Ill.J.Math.	en
dc.contributor.orcid	Koumandos, S. [0000-0002-3399-7471]
dc.gnosis.orcid	0000-0002-3399-7471

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