Research Article

On Some Hadamard-Type Inequalities for Product of Two h-Convex Functions On the Co-ordinates

Volume: 1 Number: 1 December 31, 2016
EN

On Some Hadamard-Type Inequalities for Product of Two h-Convex Functions On the Co-ordinates

Abstract

In this paper, Hadamard-type inequalities for product of h-convex functions on the co-ordinates on the rectangle from the plane are established. Obtained results generalize the corresponding to some well-known results given before now.

Keywords

References

  1. M. Alomari and M. Darus, The Hadamard’s inequality for convex function of variables on the co-ordinates, Int. Journal of Math. Analysis, 2 (13) (2008), 629–638.
  2. M. Alomari and M. Darus, The Hadamard’s inequality for convex function, Int. Journal of Math. Analysis, 2 (13) (2008), 639–646.
  3. M. Alomari and M. Darus, On co–ordinated convex functions, International Mathematical Forum, 3, 2008, no. 40, 1977 - 1989.
  4. M. Alomari and M. Darus, Co-ordinates convex function in the first sense with some Hadamard-type inequalities, Int. J. Contemp. Math. Sci., 32, 2008, 1557-1567.
  5. M. Alomari and M. Darus, Hadamard-Type Inequalities for convex functions, International Mathematical Forum, 3, 2008, no. 40, 1965 - 1975.
  6. W.W. Breckner, Stetigkeitsaussagen für eine Klasse verallgemeinerter konvexer funktionen in topologischen linearen Raumen, Pupl. Inst. Math., 23 (1978), 13–20.
  7. W.W. Breckner, Continuity of generalized convex and generalized concave set-valued functions, Rev Anal. Numér. Thkor. Approx., 22 (1993), 39–51.
  8. S.S. Dragomir, On Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese Journal of Mathematics, 5 (2001), 775 - 788.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

December 31, 2016

Submission Date

January 1, 2017

Acceptance Date

December 25, 2016

Published in Issue

Year 2016 Volume: 1 Number: 1

APA
Özdemir, M. E., Latıf, M. A., & Akdemir, A. O. (2016). On Some Hadamard-Type Inequalities for Product of Two h-Convex Functions On the Co-ordinates. Turkish Journal of Science, 1(1), 41-58. https://izlik.org/JA48AB89GL
AMA
1.Özdemir ME, Latıf MA, Akdemir AO. On Some Hadamard-Type Inequalities for Product of Two h-Convex Functions On the Co-ordinates. TJOS. 2016;1(1):41-58. https://izlik.org/JA48AB89GL
Chicago
Özdemir, M. Emin, Mohammad Amer Latıf, and Ahmet Ocak Akdemir. 2016. “On Some Hadamard-Type Inequalities for Product of Two H-Convex Functions On the Co-Ordinates”. Turkish Journal of Science 1 (1): 41-58. https://izlik.org/JA48AB89GL.
EndNote
Özdemir ME, Latıf MA, Akdemir AO (December 1, 2016) On Some Hadamard-Type Inequalities for Product of Two h-Convex Functions On the Co-ordinates. Turkish Journal of Science 1 1 41–58.
IEEE
[1]M. E. Özdemir, M. A. Latıf, and A. O. Akdemir, “On Some Hadamard-Type Inequalities for Product of Two h-Convex Functions On the Co-ordinates”, TJOS, vol. 1, no. 1, pp. 41–58, Dec. 2016, [Online]. Available: https://izlik.org/JA48AB89GL
ISNAD
Özdemir, M. Emin - Latıf, Mohammad Amer - Akdemir, Ahmet Ocak. “On Some Hadamard-Type Inequalities for Product of Two H-Convex Functions On the Co-Ordinates”. Turkish Journal of Science 1/1 (December 1, 2016): 41-58. https://izlik.org/JA48AB89GL.
JAMA
1.Özdemir ME, Latıf MA, Akdemir AO. On Some Hadamard-Type Inequalities for Product of Two h-Convex Functions On the Co-ordinates. TJOS. 2016;1:41–58.
MLA
Özdemir, M. Emin, et al. “On Some Hadamard-Type Inequalities for Product of Two H-Convex Functions On the Co-Ordinates”. Turkish Journal of Science, vol. 1, no. 1, Dec. 2016, pp. 41-58, https://izlik.org/JA48AB89GL.
Vancouver
1.M. Emin Özdemir, Mohammad Amer Latıf, Ahmet Ocak Akdemir. On Some Hadamard-Type Inequalities for Product of Two h-Convex Functions On the Co-ordinates. TJOS [Internet]. 2016 Dec. 1;1(1):41-58. Available from: https://izlik.org/JA48AB89GL