Abstract
In the article, we present the best possible parameters \(\alpha ,\beta \) such that the double inequality
holds for \(a, b>0\) with \(a\ne b\), and provide new bounds for the complete elliptic integral of the second kind, where \(S_{p}(a,b)\) and \(T_{4}(a,b)\) are the generalized Seiffert mean and Toader mean of order 4, respectively.
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Acknowledgements
This research was supported by the National Natural Science Foundation of China (Grant No. 11971142), the Natural Science Foundation of Zhejiang Province (Grant No. LY19A010012) and HZNU Scientific Research Funding (Grant No. 4085C50218204112).
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Li, Y., Zhao, T. Sharp generalized Seiffert mean bounds for the Toader mean of order 4. RACSAM 115, 106 (2021). https://doi.org/10.1007/s13398-021-01048-w
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DOI: https://doi.org/10.1007/s13398-021-01048-w