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In this paper we establish several Hadamard type inequalities for (h, m) convex functions.(original abstract)
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- Uniwersytet Ekonomiczny w Poznaniu
Bibliografia
- Bakula M.K., Özdemir M.E., Pećarić J. (2008). Hadamard type inequalities for m-convex and (, m)-convex functions. Journal of Inequalities in Pure and Applied Mathematics 9.
- Breckner W.W. (1978). Stetigkeitsanssagen für eine Klasse verallgemeinerter Konvexer Funktionen in topologischen linearen Räumen, Publications de I'lnstitut Mathématique. 23 (37). Pp. 13-20.
- Dragomir S.S., Fitzpatrick S. (1999). The Hadamard's inequality for s - convex functions in the second sense. Demonstration Mathematics 32 (4). Pp. 687-696.
- Dragomir S.S., Toader G. (1993). Some inequalities for m - convex functions. Studia Universitas Babeş-Bolyai Mathematica 38. Pp. 21-28.
- Kirmaci U. S., Bakula M. K., Özdemir M. E., Pećarić J. (2007). Hadamard-type inequalities for s-convex functions. Applied Mathematics and Computation 193. Pp. 26-35.
- Matłoka M. (2013). On some Hadamard-type inequalities for (h1, h2)-preinvex functions on the co-ordinates. Journal of Inequalities and Applications. doi: 10.1186/1029-242X-2013-227.
- Noor M.S. (2009). Hadamard integral inequalities for product of two preinvex functions. Nonlinear Analysis Forum 14. Pp. 167-173.
- Pearce C.E.M., Pećarić J. (2000). Inequalities for differentiable mappings with application to special means and quadrature formulae. Applied Mathematical Letter 13. Pp. 51-55.
- Sarikaya M.Z., Saglam A., Yildirim H. (2008). On some Hadamard-type inequalities for h-convex functions. Journal of Mathematical Inequalities 2. Pp. 335-341.
- Toader G. (1985). Some generalizations of the convexity. Proceedings of the Colloquium on Approximation and Optimization. University Cluj-Napoca. Pp. 329-338.
- Weir T., Mond B. (1988). Preinvex functions in multiobjective optimization. Journal of Mathematical Analysis and Application 136. Pp. 29-38.
- Varošanec S. (2007). On h-convexity. Journal of Mathematical Analysis and Application 326. Pp. 303-311
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