In the paper, the authors establish several inequalities for bounding the sums of sinc(2x), tanc x, and their reciprocals. This is achieved by using the Maclaurin power series expansions of the functions sin x and cos x, as well as the stratification method developed by Malesevic and his coauthors. These results provide a significant and nontrivial extension of the classical Huygens-type inequalities.
Li et al. (Thu,) studied this question.
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