Two inequalities for differentiable mappings and applications to weighted trapezoidal formula,weighted midpoint formula and random variable |
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| Authors: | Kuei-Lin Tseng Shiow-Ru Hwang Gou-Sheng Yang Jen-Chieh Lo |
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| Institution: | 1. Department of Applied Mathematics, Aletheia University, Tamsui 25103, Taiwan;2. Department of Biological Science and Technology, China University of Science and Technology, Nankang, Taipei 11522, Taiwan;3. Department of Mathematics, Tamkang University, Tamsui 25137, Taiwan |
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| Abstract: | In this paper, we establish two inequalities for differentiable convex mappings and differentiable concave mappings which are connected with Fejér’s inequality holding for convex mappings and concave mappings. Some error estimates for the weighted trapezoidal formula and the weighted midpoint formula are given. |
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