Research Article

On some Hermite-Hadamard type inequalities for strongly s-convex functions

Volume: 5 Number: 3 July 1, 2017
EN

On some Hermite-Hadamard type inequalities for strongly s-convex functions

Abstract

In this paper, we establish some new results related to the left-hand of the
Hermite-Hadamard type inequalities for the class of functions whose second
derivatives are strongly s-convex functions in the second sense. Some
previous results are also recaptured as a special case.

Keywords

References

  1. H. Angulo, J. Gimenez, A. M. Moros, and K. Nikodem, On strongly h-convex function, Ann. Funct. Anal. 2(2), 2011, 85–91.
  2. M. K. Bakula and J. Pecaric, Note on some Hadamard-type inequalities, Journal of Inequalities in Pure and Applied Mathematics, vol. 5, no. 3, article 74, 2004.
  3. S. S. Dragomir and C. E. M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.
  4. S. S. Dragomir and R.P. Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. lett., 11(5) (1998), 91-95.
  5. H. Hudzik, L. Maligranda, Some remarks on s−convex functions. Aequ. Math. 48, 100-111 (1994).
  6. J. Mako and A. Hazy, On strongly convex functions. Carpathian Journal of Mathematics, 32 (1). 87-95.
  7. N. Merentes, K. Nikodem, Remarks on strongly convex functions, Aequationes Math. 80 (2010) 193–199.
  8. K. Nikodem, Z. Pales, Characterizations of inner product spaces be strongly convex functions, Banach J. Math. Anal. 5 (2011) 83–87.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Hasan Ogunmez This is me
Türkiye

Huseyin Budak This is me
Türkiye

Publication Date

July 1, 2017

Submission Date

December 13, 2016

Acceptance Date

February 27, 2017

Published in Issue

Year 2017 Volume: 5 Number: 3

APA
Erdem, Y., Ogunmez, H., & Budak, H. (2017). On some Hermite-Hadamard type inequalities for strongly s-convex functions. New Trends in Mathematical Sciences, 5(3), 154-161. https://izlik.org/JA59XL58EL
AMA
1.Erdem Y, Ogunmez H, Budak H. On some Hermite-Hadamard type inequalities for strongly s-convex functions. New Trends in Mathematical Sciences. 2017;5(3):154-161. https://izlik.org/JA59XL58EL
Chicago
Erdem, Yusuf, Hasan Ogunmez, and Huseyin Budak. 2017. “On Some Hermite-Hadamard Type Inequalities for Strongly S-Convex Functions”. New Trends in Mathematical Sciences 5 (3): 154-61. https://izlik.org/JA59XL58EL.
EndNote
Erdem Y, Ogunmez H, Budak H (July 1, 2017) On some Hermite-Hadamard type inequalities for strongly s-convex functions. New Trends in Mathematical Sciences 5 3 154–161.
IEEE
[1]Y. Erdem, H. Ogunmez, and H. Budak, “On some Hermite-Hadamard type inequalities for strongly s-convex functions”, New Trends in Mathematical Sciences, vol. 5, no. 3, pp. 154–161, July 2017, [Online]. Available: https://izlik.org/JA59XL58EL
ISNAD
Erdem, Yusuf - Ogunmez, Hasan - Budak, Huseyin. “On Some Hermite-Hadamard Type Inequalities for Strongly S-Convex Functions”. New Trends in Mathematical Sciences 5/3 (July 1, 2017): 154-161. https://izlik.org/JA59XL58EL.
JAMA
1.Erdem Y, Ogunmez H, Budak H. On some Hermite-Hadamard type inequalities for strongly s-convex functions. New Trends in Mathematical Sciences. 2017;5:154–161.
MLA
Erdem, Yusuf, et al. “On Some Hermite-Hadamard Type Inequalities for Strongly S-Convex Functions”. New Trends in Mathematical Sciences, vol. 5, no. 3, July 2017, pp. 154-61, https://izlik.org/JA59XL58EL.
Vancouver
1.Yusuf Erdem, Hasan Ogunmez, Huseyin Budak. On some Hermite-Hadamard type inequalities for strongly s-convex functions. New Trends in Mathematical Sciences [Internet]. 2017 Jul. 1;5(3):154-61. Available from: https://izlik.org/JA59XL58EL