BibTex RIS Cite

ON THE HADAMARD’S TYPE INEQUALITIES FOR L-LIPSCHITZIAN MAPPING

Year 2013, Volume: 1 Issue: 2, 33 - 40, 01.12.2013

Abstract

In this paper, we establish some new inequalities of Hadamard’stype for L-Lipschitzian mapping in two variables

References

  • M. Alomari and M. Darus, Co-ordinated s-convex function in the first sense with some Hadamard-type inequalities, Int. J. Contemp. Math. Sciences, 3 (32) (2008), 1557-1567.
  • M. Alomari and M. Darus, On the Hadamard’s inequality for log-convex functions on the coordinates, J. of Inequal. and Appl, Article ID 283147, (2009), 13 pages.
  • S.S. Dragomir, On Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese Journal of Mathematics, 4 (2001), 775-788.
  • S.S. Dragomir, Y. J. Cho and S. S. Kim, Inequalities of Hadamard’s type for Lipschitzian mappings and their applications, J. Math. Anal. Appl., 245 (2000), 489-501.
  • M. A. Latif and M. Alomari, Hadamard-type inequalities for product two convex functions on the co-ordinetes, Int. Math. Forum, 4(47), 2009, 2327-2338.
  • M. A. Latif and M. Alomari, On the Hadamard-type inequalities for h-convex functions on the co-ordinetes, Int. J. of Math. Analysis, 3(33), 2009, 1645-1656.
  • M. Matic and J. Pecaric, On inequalities of Hadamard’s type for Lipschizian mappings, Tamkang J. Math. 32, 2 (2001), 127-130.
  • M.E. ¨Ozdemir, E. Set and M.Z. Sarikaya, New some Hadamard’s type inequalities for co- ordinated m-convex and (α, m)-convex functions, Hacettepe Journal of Mathematics and Statistics , 40(2), 2011, 219-229.
  • F. Qi, Z.-L. Wei and Q. Yang, Generalizations and refinements of Hermite–Hadamard’s inequality, Rocky Mountain J. Math. 35 (2005), pp. 235–251.
  • G. S. Yang and K. L. Tseng, Inequalities of Hadamard’s Type for Lipschizian Mappings, J.
  • Math. Anal. Appl., 260 (2001), 230-238.
  • S.-H. Wu, On the weighted generalization of the Hermite-Hadamard inequality and its appli
  • cations, The Rocky Mountain J. of Math., vol. 39, no. 5, pp. 1741–1749, 2009.
  • Department of Mathematics, Faculty of Science and Arts, D¨uzce University, D¨uzce, Turkey
  • E-mail address: sarikayamz@gmail.com
  • E-mail address: yaldizhatice@gmail.com

Year 2013, Volume: 1 Issue: 2, 33 - 40, 01.12.2013

Abstract

References

  • M. Alomari and M. Darus, Co-ordinated s-convex function in the first sense with some Hadamard-type inequalities, Int. J. Contemp. Math. Sciences, 3 (32) (2008), 1557-1567.
  • M. Alomari and M. Darus, On the Hadamard’s inequality for log-convex functions on the coordinates, J. of Inequal. and Appl, Article ID 283147, (2009), 13 pages.
  • S.S. Dragomir, On Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese Journal of Mathematics, 4 (2001), 775-788.
  • S.S. Dragomir, Y. J. Cho and S. S. Kim, Inequalities of Hadamard’s type for Lipschitzian mappings and their applications, J. Math. Anal. Appl., 245 (2000), 489-501.
  • M. A. Latif and M. Alomari, Hadamard-type inequalities for product two convex functions on the co-ordinetes, Int. Math. Forum, 4(47), 2009, 2327-2338.
  • M. A. Latif and M. Alomari, On the Hadamard-type inequalities for h-convex functions on the co-ordinetes, Int. J. of Math. Analysis, 3(33), 2009, 1645-1656.
  • M. Matic and J. Pecaric, On inequalities of Hadamard’s type for Lipschizian mappings, Tamkang J. Math. 32, 2 (2001), 127-130.
  • M.E. ¨Ozdemir, E. Set and M.Z. Sarikaya, New some Hadamard’s type inequalities for co- ordinated m-convex and (α, m)-convex functions, Hacettepe Journal of Mathematics and Statistics , 40(2), 2011, 219-229.
  • F. Qi, Z.-L. Wei and Q. Yang, Generalizations and refinements of Hermite–Hadamard’s inequality, Rocky Mountain J. Math. 35 (2005), pp. 235–251.
  • G. S. Yang and K. L. Tseng, Inequalities of Hadamard’s Type for Lipschizian Mappings, J.
  • Math. Anal. Appl., 260 (2001), 230-238.
  • S.-H. Wu, On the weighted generalization of the Hermite-Hadamard inequality and its appli
  • cations, The Rocky Mountain J. of Math., vol. 39, no. 5, pp. 1741–1749, 2009.
  • Department of Mathematics, Faculty of Science and Arts, D¨uzce University, D¨uzce, Turkey
  • E-mail address: sarikayamz@gmail.com
  • E-mail address: yaldizhatice@gmail.com
There are 16 citations in total.

Details

Authors

M.zeki Sarıkaya This is me

Haticeyaldiz This is me

Submission Date April 4, 2015
Publication Date December 1, 2013
Published in Issue Year 2013 Volume: 1 Issue: 2
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.