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SOME NEW HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED m-CONVEX AND (α, m)-CONVEX FUNCTIONS
Abstract
In this paper, we establish some new Hermite-Hadamard type inequalities for m-convex and (α, m)-convex functions of 2-variables on the co-ordinates
Keywords
References
- Alomari, M. and Darus, M. Co-ordinated s-convex function in the first sense with some Hadamard-type inequalities, Int. J. Contemp. Math. Sciences 3 (32), 1557–1567, 2008.
- Bakula, M. K. ¨Ozdemir, M. E. and Peˇcari´c, J. Hadamard type inequalities for m-convex and (α, m)-convex functions, J. Inequal. Pure and Appl. Math. 9 (4), Art. 96, 2008.
- Bakula, M. K., Peˇcari´c, J. and Ribiˇci´c, M. Companion inequalities to Jensen’s inequality for m-convex and(α, m)-convex functions, J. Inequal. Pure and Appl. Math. 7 (5), Art. 194, 2006.
- Dragomir, S. S. On Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese Journal of Mathematics 4, 775–788, 2001.
- Dragomir, S. S. and Pearce, C. E. M. Selected Topics on Hermite-Hadamard Inequal- itiesand Applications http://www.staff.vu.edu.au/RGMIA/monographs/hermite-hadamard.html].
- Victoria University, 2000). [Online:
- Dragomir, S. S. and Toader, G. Some inequalities for m-convex functions, Studia Univ. Babes- Bolyai, Mathematica 38 (1), 21–28, 1993.
- Mihe¸san, V. G. A generalization of the convexity (Seminar on Functional Equations, Approx. and Convex., Cluj-Napoca, Romania, 1993).
Details
Primary Language
English
Subjects
Statistics
Journal Section
Research Article
Publication Date
February 1, 2011
Submission Date
May 12, 2014
Acceptance Date
-
Published in Issue
Year 2011 Volume: 40 Number: 2
APA
Özdemir, M., Set, E., Set, E., & Sarıkaya, m.z. (2011). SOME NEW HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED m-CONVEX AND (α, m)-CONVEX FUNCTIONS. Hacettepe Journal of Mathematics and Statistics, 40(2), 219-229. https://izlik.org/JA48GS73SN
AMA
1.Özdemir M, Set E, Set E, Sarıkaya m.z. SOME NEW HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED m-CONVEX AND (α, m)-CONVEX FUNCTIONS. Hacettepe Journal of Mathematics and Statistics. 2011;40(2):219-229. https://izlik.org/JA48GS73SN
Chicago
Özdemir, M.e., E. Set, Erhan Set, and m.z. Sarıkaya. 2011. “SOME NEW HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED M-CONVEX AND (α, M)-CONVEX FUNCTIONS”. Hacettepe Journal of Mathematics and Statistics 40 (2): 219-29. https://izlik.org/JA48GS73SN.
EndNote
Özdemir M, Set E, Set E, Sarıkaya m.z. (February 1, 2011) SOME NEW HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED m-CONVEX AND (α, m)-CONVEX FUNCTIONS. Hacettepe Journal of Mathematics and Statistics 40 2 219–229.
IEEE
[1]M. Özdemir, E. Set, E. Set, and m.z.Sarıkaya, “SOME NEW HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED m-CONVEX AND (α, m)-CONVEX FUNCTIONS”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 2, pp. 219–229, Feb. 2011, [Online]. Available: https://izlik.org/JA48GS73SN
ISNAD
Özdemir, M.e. - Set, E. - Set, Erhan - Sarıkaya, m.z. “SOME NEW HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED M-CONVEX AND (α, M)-CONVEX FUNCTIONS”. Hacettepe Journal of Mathematics and Statistics 40/2 (February 1, 2011): 219-229. https://izlik.org/JA48GS73SN.
JAMA
1.Özdemir M, Set E, Set E, Sarıkaya m.z. SOME NEW HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED m-CONVEX AND (α, m)-CONVEX FUNCTIONS. Hacettepe Journal of Mathematics and Statistics. 2011;40:219–229.
MLA
Özdemir, M.e., et al. “SOME NEW HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED M-CONVEX AND (α, M)-CONVEX FUNCTIONS”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 2, Feb. 2011, pp. 219-2, https://izlik.org/JA48GS73SN.
Vancouver
1.M.e. Özdemir, E. Set, Erhan Set, m.z. Sarıkaya. SOME NEW HADAMARD TYPE INEQUALITIES FOR CO-ORDINATED m-CONVEX AND (α, m)-CONVEX FUNCTIONS. Hacettepe Journal of Mathematics and Statistics [Internet]. 2011 Feb. 1;40(2):219-2. Available from: https://izlik.org/JA48GS73SN