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Inequalities for the weighted mean of  -convex functions |
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| Authors: | Mingbao Sun Xiaoping Yang |
| Institution: | Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, People's Republic of China -- and -- Department of Applied Mathematics, Hunan Institute of Science and Technology, Yueyang 414000, Hunan, People's Republic of China ; Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, People's Republic of China |
| Abstract: | In this paper, the inequalities for the weighted mean of  -convex functions are established. As applications, inequalities between the two-parameter mean of an  -convex function and extended mean values are given. |
| Keywords: | Inequality $r$-convex function weighted mean two-parameter mean extended mean values Tchebycheff integral inequality standard mollifier |
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