Research Article

ON SOME CEBYSEV TYPE INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE (h1; h2)-CONVEX ON THE CO-ORDINATES

Volume: 3 Number: 2 October 1, 2015
EN

ON SOME CEBYSEV TYPE INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE (h1; h2)-CONVEX ON THE CO-ORDINATES

Abstract

The aim of this paper is to establish some new Cebysev type inequalities involving functions whose mixed partial derivatives are (h1; h2)- convex on the co-ordinates.

Keywords

References

  1. [1] Ahmad, F., Barnett, N. S., & Dragomir, S. S. (2009). New weighted Ostrowski and Cebysev type inequalities. Nonlinear Analysis: Theory, Methods & Applications, 71(12), e1408-e1412.
  2. [2] Alomari, M., & Darus, M. (2008). The Hadamard's inequality for s-convex function of 2- variables on the co-ordinates. International Journal of Math. Analysis, 2(13), 629-638.
  3. [3] Boukerrioua, K., Guezane-Lakoud, A.(2007). On generalization of Cebysev type inequalities. J. Inequal. Pure Appl. Math. 8,2, Art 55.
  4. [4] Chebyshev, P. L. (1882). Sur les expressions approximatives des integrales de nies par les autres prises entre les m^emes limites. InProc.Math.Soc.Charkov(Vol.2,pp.93-98):
  5. [5] Dragomir, S. S. (2001). On Hadamard's inequality for convex functions on the co-ordinates in a rectangle from the plane. Taiwanese J Math. 4, 775{788.
  6. [6] Guazene-Lakoud, A. and Aissaoui, F.2011. New Cebysev type inequalities for double integrals, J. Math. Inequal, 5(4) , 453{462.
  7. [7] Latif, M. A., & Alomari, M. (2009). On Hadamard-type inequalities for h-convex functions on the co-ordinates. International Journal of Math. Analysis, 3(33), 1645-1656.
  8. [8] Pachpatte, B. G., & Talkies, N. A. (2006). On Cebysev type inequalities involving functions whose derivatives belong to Lp spaces. J. Inequal. Pure and Appl. Math, 7(2), Art 58.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

B. Meftah This is me
Algeria

Publication Date

October 1, 2015

Submission Date

July 10, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 2

APA
Meftah, B., & Boukerrıoua, K. (2015). ON SOME CEBYSEV TYPE INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE (h1; h2)-CONVEX ON THE CO-ORDINATES. Konuralp Journal of Mathematics, 3(2), 77-88. https://izlik.org/JA28MX67XB
AMA
1.Meftah B, Boukerrıoua K. ON SOME CEBYSEV TYPE INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE (h1; h2)-CONVEX ON THE CO-ORDINATES. Konuralp J. Math. 2015;3(2):77-88. https://izlik.org/JA28MX67XB
Chicago
Meftah, B., and K. Boukerrıoua. 2015. “ON SOME CEBYSEV TYPE INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE (h1; H2)-CONVEX ON THE CO-ORDINATES”. Konuralp Journal of Mathematics 3 (2): 77-88. https://izlik.org/JA28MX67XB.
EndNote
Meftah B, Boukerrıoua K (October 1, 2015) ON SOME CEBYSEV TYPE INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE (h1; h2)-CONVEX ON THE CO-ORDINATES. Konuralp Journal of Mathematics 3 2 77–88.
IEEE
[1]B. Meftah and K. Boukerrıoua, “ON SOME CEBYSEV TYPE INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE (h1; h2)-CONVEX ON THE CO-ORDINATES”, Konuralp J. Math., vol. 3, no. 2, pp. 77–88, Oct. 2015, [Online]. Available: https://izlik.org/JA28MX67XB
ISNAD
Meftah, B. - Boukerrıoua, K. “ON SOME CEBYSEV TYPE INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE (h1; H2)-CONVEX ON THE CO-ORDINATES”. Konuralp Journal of Mathematics 3/2 (October 1, 2015): 77-88. https://izlik.org/JA28MX67XB.
JAMA
1.Meftah B, Boukerrıoua K. ON SOME CEBYSEV TYPE INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE (h1; h2)-CONVEX ON THE CO-ORDINATES. Konuralp J. Math. 2015;3:77–88.
MLA
Meftah, B., and K. Boukerrıoua. “ON SOME CEBYSEV TYPE INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE (h1; H2)-CONVEX ON THE CO-ORDINATES”. Konuralp Journal of Mathematics, vol. 3, no. 2, Oct. 2015, pp. 77-88, https://izlik.org/JA28MX67XB.
Vancouver
1.B. Meftah, K. Boukerrıoua. ON SOME CEBYSEV TYPE INEQUALITIES FOR FUNCTIONS WHOSE SECOND DERIVATIVES ARE (h1; h2)-CONVEX ON THE CO-ORDINATES. Konuralp J. Math. [Internet]. 2015 Oct. 1;3(2):77-88. Available from: https://izlik.org/JA28MX67XB
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