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] 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] 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] Boukerrioua, K., Guezane-Lakoud, A.(2007). On generalization of Cebysev type inequalities. J. Inequal. Pure Appl. Math. 8,2, Art 55.
- [4] Chebyshev, P. L. (1882). Sur les expressions approximatives des integrales denies par les autres prises entre les m^emes limites. InProc.Math.Soc.Charkov(Vol.2,pp.93-98):
- [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] Guazene-Lakoud, A. and Aissaoui, F.2011. New Cebysev type inequalities for double integrals, J. Math. Inequal, 5(4) , 453{462.
- [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] 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
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
