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• W3007274691 abstract "In this work, a Vietoris type theorem for the positivity of sine and cosine sum for a particular sequence of real numbers is provided. In this connection, the positivity of a particular type of sine sum involving ratio of some parameters is given, which is new in the literature. Various new results that follow from the Vietoris type theorem include improved estimates for the location of the zeros of a class of trigonometric polynomials and new positive sums for orthogonal polynomials. An open problem is also provided for the partial sums of the generalized polylogarithm." @default.
• W3007274691 created "2020-03-06" @default.
• W3007274691 creator A5045100482 @default.
• W3007274691 creator A5076715288 @default.
• W3007274691 date "2017-05-06" @default.
• W3007274691 modified "2023-09-26" @default.
• W3007274691 title "Vietoris type theorem related to positivity of trigonometric polynomials" @default.
• W3007274691 cites W1511895207 @default.
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• W3007274691 doi "https://doi.org/10.48550/arxiv.1705.03759" @default.
• W3007274691 hasPublicationYear "2017" @default.
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