Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications

Volume: 42 Number: 3 March 1, 2013
  • Bo-Yan Xi
  • Feng Qi
EN TR

Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications

Abstract

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Keywords

References

  1. Bai, R.-F., Qi, F. and Xi, B.-Y. Hermite-Hadamard type inequalities for the m- and (α, m)logarithmically convex functions, Filomat 27 (1), 1–7, 2013.
  2. Dragomir, S. S. and Agarwal, R. P. Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett. 11 (5), 91–95, 1998.
  3. Dragomir, S. S., Agarwal, R. P. and Cerone, P. On Simpson’s inequality and applications, J. Inequal. Appl. 5 (6), 533–579, 2000.
  4. Kirmaci, U. S. Inequalities for differentiable mappings and applications to special means of real numbers to midpoint formula, Appl. Math. Comput. 147 (1), 137–146, 2004. Mitrinovi´ c, D. S. Analytic Inequalities, Springer-Verlag, Berlin, 1970.
  5. Pearce, C. E. M. and Peˇ cari´ c, J. Inequalities for differentiable mappings with application to special means and quadrature formulae, Appl. Math. Lett. 13 (2), 51–55, 2000.
  6. Qi, F. Bounds for the ratio of two gamma functions, J. Inequal. Appl. 2010, Article ID 493058, 84 pages, 2010.
  7. Qi, F., Wei, Z.-L. and Yang, Q. Generalizations and refinements of Hermite-Hadamard’s inequality, Rocky Mountain J. Math. 35 (1), 235–251, 2005.
  8. Wang, S.-H., Xi, B.-Y. and Qi, F. On Hermite-Hadamard type inequalities for (α, m)-convex functions, Int. J. Open Probl. Comput. Sci. Math. 5 (4), 47–56, 2012.

Details

Primary Language

Turkish

Subjects

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Journal Section

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Authors

Bo-Yan Xi This is me

Feng Qi This is me

Publication Date

March 1, 2013

Submission Date

May 11, 2014

Acceptance Date

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Published in Issue

Year 2013 Volume: 42 Number: 3

APA
Xi, B.-Y., & Qi, F. (2013). Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications. Hacettepe Journal of Mathematics and Statistics, 42(3), 243-257. https://izlik.org/JA64GU68CF
AMA
1.Xi BY, Qi F. Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications. Hacettepe Journal of Mathematics and Statistics. 2013;42(3):243-257. https://izlik.org/JA64GU68CF
Chicago
Xi, Bo-Yan, and Feng Qi. 2013. “Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications”. Hacettepe Journal of Mathematics and Statistics 42 (3): 243-57. https://izlik.org/JA64GU68CF.
EndNote
Xi B-Y, Qi F (March 1, 2013) Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications. Hacettepe Journal of Mathematics and Statistics 42 3 243–257.
IEEE
[1]B.-Y. Xi and F. Qi, “Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 3, pp. 243–257, Mar. 2013, [Online]. Available: https://izlik.org/JA64GU68CF
ISNAD
Xi, Bo-Yan - Qi, Feng. “Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications”. Hacettepe Journal of Mathematics and Statistics 42/3 (March 1, 2013): 243-257. https://izlik.org/JA64GU68CF.
JAMA
1.Xi B-Y, Qi F. Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications. Hacettepe Journal of Mathematics and Statistics. 2013;42:243–257.
MLA
Xi, Bo-Yan, and Feng Qi. “Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications”. Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 3, Mar. 2013, pp. 243-57, https://izlik.org/JA64GU68CF.
Vancouver
1.Bo-Yan Xi, Feng Qi. Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications. Hacettepe Journal of Mathematics and Statistics [Internet]. 2013 Mar. 1;42(3):243-57. Available from: https://izlik.org/JA64GU68CF