Journal
COMPUTATIONAL METHODS AND FUNCTION THEORY
Volume 20, Issue 1, Pages 111-124Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40315-020-00298-w
Keywords
Complete elliptic integral; Generalized elliptic integral; Gaussian hypergeometric function; Complete p-elliptic integral; Power mean
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Funding
- Natural Science Foundation of China [11701176, 11971142, 61673169]
- Science Foundation of Zhejiang Province [YL19A010012]
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We establish two sharp inequalities involving the power mean and generalized elliptic integral of the first kind. As applications, the analogous inequalities concerning the complete p-elliptic integral of the first kind are also derived.
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