New inequalities of Huygens-type involving tangent and sine functions

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS（2023）

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摘要

Using the estimations of the even-indexed Bernoulli number and Euler number this pa-per established some new inequalities for the three functions 2 (sin x) /x + (tan x) /x, (sin x) /x + 2 (tan(x/2)) / (x/2) and 2x/ sin x + x/ tan x bounded by the powers of tan-gent function.

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关键词

&nbsp, circular functions, refinements of the Huygens-type inequalities, even-indexed Bernoulli number, Euler number

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