Hermite-Hadamard type inequalities for functions whose derivatives are ({\alpha},m)-convex
Abstract
In this paper several inequalities of the right-hand side of Hermite-Hadamard inequality are obtained for the class of functions whose derivatives in absolutely value at certain powers are ({\alpha},m)-convex.Some applications to special means of positive real numbers are also given.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2012
- DOI:
- 10.48550/arXiv.1203.1453
- arXiv:
- arXiv:1203.1453
- Bibcode:
- 2012arXiv1203.1453I
- Keywords:
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- Mathematics - Classical Analysis and ODEs;
- 26A51 (Primary) 26D15(Secondary)
- E-Print:
- 12 pages