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New sharp bounds for sinc and hyperbolic sinc functions via cos and cosh functions

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Abstract

In this paper, we give some new sharp bounds for sinc and hyperbolic sinc functions via cosine and hyperbolic cosine functions, which these bounds refine or improve most of recent published results.

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Acknowledgements

We would like to express their sincere thanks for Prof. Jacek Banasiak and the anonymous reviewer(s), whose comments have considerably improved the quality of this work.

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Authors and Affiliations

  1. Department of Mathematics, Tay Nguyen University, 567 Le Duan, Buon Ma Thuot, Dak Lak, Vietnam

    Duong Quoc Huy & Doan Thi Thuy Van

  2. Cao Nguyen Practical High school, 567 Le Duan, Buon Ma Thuot, Dak Lak, Vietnam

    Phan Trung Hieu

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  1. Duong Quoc Huy
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  2. Phan Trung Hieu
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  3. Doan Thi Thuy Van
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All authors contributed equally to the manuscript and read and approved the final manuscript.

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Correspondence to Duong Quoc Huy.

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Huy, D.Q., Hieu, P.T. & Van, D.T.T. New sharp bounds for sinc and hyperbolic sinc functions via cos and cosh functions. Afr. Mat. 35, 38 (2024). https://doi.org/10.1007/s13370-024-01185-6

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  • DOI: https://doi.org/10.1007/s13370-024-01185-6

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