On some inequalities for s-convex functions and applications
Open Access
- 22 July 2013
- journal article
- research article
- Published by Springer Nature in Journal of Inequalities and Applications
- Vol. 2013 (1) , 333
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.Keywords
This publication has 9 references indexed in Scilit:
- On some inequalities for s-convex functions and applicationsJournal of Inequalities and Applications, 2013
- New inequalities of Hermite–Hadamard type via s-convex functions in the second sense with applicationsApplied Mathematics and Computation, 2011
- On new inequalities of Simpson’s type for-convex functionsComputers & Mathematics with Applications, 2010
- On the Hermite-Hadamard Inequality and Other Integral Inequalities Involving Two FunctionsJournal of Inequalities and Applications, 2010
- Hadamard-type inequalities for s-convex functionsApplied Mathematics and Computation, 2007
- Two new theorem on mappings uniformly continuous and convex with applications to quadrature rules and meansApplied Mathematics and Computation, 2003
- THE HADAMARD INEQUALITIES FOR s-CONVEX FUNCTIONS IN THE SECOND SENSEDemonstratio Mathematica, 1999
- Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formulaApplied Mathematics Letters, 1998
- Some remarks ons-convex functionsAequationes mathematicae, 1994