SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX

Volume: 3 Number: 2 March 11, 2014
TR

SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX

Abstract

In this paper we establish some estimates of the right hand side of Hermite-Hadamard type inequality for functions whose derivatives absolute values are quasi-convex.

Keywords

References

  1. Alomari, M., Darus, M. and Dragomir, S.S., (2009). Inequalities of Hermite- Hadamard's type for functions whose derivatives absolute values are quasi- convex, RGMIA Res. Rep. Coll., 12, Supplement, Article 14.
  2. Alomari, M., Darus, M. and Dragomir, S.S., (2009). New inequalities of Hermite-Hadamard type for functions whose second derivatives absolute values are quasi-convex, RGMIA Res. Rep. Coll., 12, Supplement, Article 17.
  3. Alomari, M. and Darus, M., (2010). On some inequalities Simpson-type via quasi-convex functions with applications, RGMIA Res. Rep. Coll., 13, 1, Article 8. [ http://www.staff.vu.edu.au/RGMIA/ ].
  4. Alomari, M. and Darus, M., (2010). Some Ostrowski type inequalities for quasi- convex functions with applications to special means, RGMIA Res. Rep. Coll., 13, 2, Article 3. [http://www.staff.vu.edu.au/RGMIA/ ].
  5. Alomari, M., Darus, M. and Kirmacı, U.S., (2010). Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means. Computers and Mathematics with Applications, 59, 225-232.
  6. Dragomir, S.S., (1992). Two mappings in connection to Hadamard.s inequalities, J.Math. Anal. Appl., 167, 49-56.
  7. Dragomir, S.S. and Pearce, C.E.M., (1998). Quasi-convex functions and Hadamard's inequality, Bull. Austral. Math. Soc., 57, 377-385.
  8. Ion, D.A., (2007). Some estimates on the Hermite-Hadamard inequalities through quasi-convex functions, Annals of University of Craiova, Math. Comp. Sci. Ser., 34, 82-87.

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Publication Date

March 11, 2014

Submission Date

March 11, 2014

Acceptance Date

-

Published in Issue

Year 2010 Volume: 3 Number: 2

APA
Yıldız, Ç., Akdemir, A., & Avcı, M. (2014). SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX. Erzincan University Journal of Science and Technology, 3(2), 263-271. https://izlik.org/JA53LA85YE
AMA
1.Yıldız Ç, Akdemir A, Avcı M. SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX. Erzincan University Journal of Science and Technology. 2014;3(2):263-271. https://izlik.org/JA53LA85YE
Chicago
Yıldız, Çetin, Ahmet Akdemir, and Merve Avcı. 2014. “SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX”. Erzincan University Journal of Science and Technology 3 (2): 263-71. https://izlik.org/JA53LA85YE.
EndNote
Yıldız Ç, Akdemir A, Avcı M (March 1, 2014) SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX. Erzincan University Journal of Science and Technology 3 2 263–271.
IEEE
[1]Ç. Yıldız, A. Akdemir, and M. Avcı, “SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX”, Erzincan University Journal of Science and Technology, vol. 3, no. 2, pp. 263–271, Mar. 2014, [Online]. Available: https://izlik.org/JA53LA85YE
ISNAD
Yıldız, Çetin - Akdemir, Ahmet - Avcı, Merve. “SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX”. Erzincan University Journal of Science and Technology 3/2 (March 1, 2014): 263-271. https://izlik.org/JA53LA85YE.
JAMA
1.Yıldız Ç, Akdemir A, Avcı M. SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX. Erzincan University Journal of Science and Technology. 2014;3:263–271.
MLA
Yıldız, Çetin, et al. “SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX”. Erzincan University Journal of Science and Technology, vol. 3, no. 2, Mar. 2014, pp. 263-71, https://izlik.org/JA53LA85YE.
Vancouver
1.Çetin Yıldız, Ahmet Akdemir, Merve Avcı. SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX. Erzincan University Journal of Science and Technology [Internet]. 2014 Mar. 1;3(2):263-71. Available from: https://izlik.org/JA53LA85YE