Full-text resources of CEJSH and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


2013 | 9 (16) | 55-70

Article title

On some integral inequalities for (h, m)-convex functions

Authors

Content

Title variants

Languages of publication

EN

Abstracts

EN
In this paper we establish several Hadamard type inequalities for (h, m) convex functions.

Year

Issue

Pages

55-70

Physical description

Contributors

References

  • 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.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.desklight-f0fdff31-9bce-4f70-a457-2371bfc0d831
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.