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Convexity and concavity of the modified Bessel functions of the first kind with respect to Hölder means

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Abstract

In this paper, we establish a necessary and sufficient condition for the convexity and concavity of the modified Bessel functions of the first kind with respect to Hölder means.

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Correspondence to Yu-Ming Chu.

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This research was supported by the Natural Science Foundation of China (Grant Nos. 11971142, 61673169, 11871202, 11701176, 11626101, 11601485) and the Natural Science Foundation of Zhejiang Province (Grant No. LY19A010012).

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Zhao, TH., Shi, L. & Chu, YM. Convexity and concavity of the modified Bessel functions of the first kind with respect to Hölder means. RACSAM 114, 96 (2020). https://doi.org/10.1007/s13398-020-00825-3

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  • DOI: https://doi.org/10.1007/s13398-020-00825-3

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