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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Bibliographic Details
Published inRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Vol. 114; no. 2
Main Authors Zhao, Tie-Hong, Shi, Lei, Chu, Yu-Ming
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.04.2020
Springer Nature B.V
Subjects
Applications of Mathematics
Bessel functions
Concavity
Convexity
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Original Paper
Theoretical
26E60
Hölder means
Convexity
33E05
Modified Bessel functions
Concavity
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Summary: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