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Generalized convexity and inequalities involving special functions |
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| Authors: | Yuming Chu Gendi Wang Songliang Qiu |
| Institution: | a Department of Mathematics, Hunan City University, Yiyang 413000, PR China b Department of Mathematics, Huzhou Teachers College, Huzhou 313000, PR China c College of Science, Zhejiang Sci-Tech University, Hangzhou 310018, PR China |
| Abstract: | In this paper, the authors show a relation between the generalized convexity and super- (sub-)multiplicative property, and discuss some generalized convexity and inequalities involving the Gaussian hypergeometric function, the generalized η-distortion function  and the generalized Grötzsch function μa(r). |
| Keywords: | Generalized convexity Super- (sub-)multiplicative Gaussian hypergeometric function Generalized η-distortion function Generalized Grö tzsch function |
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