Author:
Özdemir Muhamet Emin,Yıldız Çetin,Akdemir Ahmet Ocak,Set Erhan
Abstract
Abstract
Some new results related to the left-hand side of the Hermite-Hadamard type inequalities for the class of functions whose second derivatives at certain powers are s-convex functions in the second sense are obtained. Also, some applications to special means of real numbers are provided.
MSC:26A51, 26D15.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference13 articles.
1. Hudzik H, Maligranda L: Some remarks on s -convex functions. Aequ. Math. 1994, 48: 100–111. 10.1007/BF01837981
2. Özdemir ME, Kırmacı US: Two new theorems on mappings uniformly continuous and convex with applications to quadrature rules and means. Appl. Math. Comput. 2003, 143: 269–274. 10.1016/S0096-3003(02)00359-4
3. Dragomir SS, Pearce CEM RGMIA Monographs. In Selected Topics on Hermite-Hadamard Inequalities and Applications. Victoria University, Melbourne; 2000. http://ajmaa.org/RGMIA/monographs.php
4. Set E, Özdemir ME, Dragomir SS: On the Hermite-Hadamard inequality and other integral inequalities involving two functions. J. Inequal. Appl. 2010., 2010: Article ID 148102
5. Dragomir SS, Agarwal RP: Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula. Appl. Math. Lett. 1998, 11(5):91–95. 10.1016/S0893-9659(98)00086-X
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