Some inequalities for differentiable convex mapping with application to weighted trapezoidal formula and higher moments of random variables |
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| Authors: | Dah-Yan Hwang |
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| Institution: | Department of Information and Management, Technology and Science Institute of Northern Taiwan, No. 2, Xueyuan Rd., Beitou, Taipei 11271, Taiwan, ROC |
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| Abstract: | Several inequalities for differentiable convex, wright-convex and quasi-convex mapping are obtained respectively that are connected with the celebrated Hermite-Hadamard integral inequality. Also, some error estimates for weighted Trapezoid formula and higher moments of random variables are given. |
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| Keywords: | Hermite-Hadamard inequality Convex function Wright-convex function Quasi-convex function Integral inequalities Trapezoidal formula |
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