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

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

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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Veröffentlicht in:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2020-04, Vol.114 (2), Article 96
Hauptverfasser: Zhao, Tie-Hong, Shi, Lei, Chu, Yu-Ming
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Bessel functions
Concavity
Convexity
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Theoretical
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Zusammenfassung: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.
ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-020-00825-3