Conference Paper

Hermite-Hadamard Type Integral Inequalities for Strongly GA-convex Functions

Volume: 10 December 29, 2018
EN

Hermite-Hadamard Type Integral Inequalities for Strongly GA-convex Functions

Abstract

In this paper we obtain the Hermite-Hadamard Inequality for strongly GA-convex function. Using this strongly GA-convex function we get the new theorem and corollary

Keywords

References

  1. Angulo, H., & Gimenez, J., & Moros, A. M., & Nikodem, K. (2011). On strongly h-convex functions. Annals of Functional Analysis, No.2, 85-91.
  2. Erdem, Y., & Öğünmez, H., & Budak, H. (2016). Some generalized inequalities of Hermite-Hadamard type for strongly s-convex functions. RGMIA Research Report Collection, 19, Article. 110.
  3. İşcan, İ. (2014). Hermite-Hadamard type inequaities for harmonically convex functions. Hacettepe Journal of Mathematics and Statistic 43(6), 935-942.
  4. Nikodem, K., & Sanchez, J. L., & Sanchez L. (2014). Jensen and Hermite-Hadamard inequalities for strongly convex set-valued maps. Mathematica Aeterna, 4 (8), 979-987.
  5. Niculescu, P.C. (2000). Convexity according to the geometric mean. Mathematical Inequalities and Applications, No.2(3), 155-167.
  6. Niculescu, P.C. (2003). Convexity according to means. Mathematical Inequalities and Applications, No.4(6), 571-579.
  7. Noor, M. A., & Noor, K. I., & Iftikhar, S. (2016). Hermite-Hadamard inequalities for strongly harmonic convex functions. Journal of Inequalities and Special Functions, 7 (3), 99-113.
  8. Turhan, S., & İşcan, İ., & Kunt, M. (2017). Hermite-Hadamard type inequalities for M_φ A convex functions.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Conference Paper

Publication Date

December 29, 2018

Submission Date

August 13, 2018

Acceptance Date

December 8, 2018

Published in Issue

Year 2018 Volume: 10

APA
Demirel, A. K., Turhan, S., Maden, S., & İşcan, İ. (2018). Hermite-Hadamard Type Integral Inequalities for Strongly GA-convex Functions. Turkish Journal of Mathematics and Computer Science, 10, 178-183. https://izlik.org/JA97PH32JE
AMA
1.Demirel AK, Turhan S, Maden S, İşcan İ. Hermite-Hadamard Type Integral Inequalities for Strongly GA-convex Functions. TJMCS. 2018;10:178-183. https://izlik.org/JA97PH32JE
Chicago
Demirel, Ayşe Kübra, Sercan Turhan, Selahattin Maden, and İmdat İşcan. 2018. “Hermite-Hadamard Type Integral Inequalities for Strongly GA-Convex Functions”. Turkish Journal of Mathematics and Computer Science 10 (December): 178-83. https://izlik.org/JA97PH32JE.
EndNote
Demirel AK, Turhan S, Maden S, İşcan İ (December 1, 2018) Hermite-Hadamard Type Integral Inequalities for Strongly GA-convex Functions. Turkish Journal of Mathematics and Computer Science 10 178–183.
IEEE
[1]A. K. Demirel, S. Turhan, S. Maden, and İ. İşcan, “Hermite-Hadamard Type Integral Inequalities for Strongly GA-convex Functions”, TJMCS, vol. 10, pp. 178–183, Dec. 2018, [Online]. Available: https://izlik.org/JA97PH32JE
ISNAD
Demirel, Ayşe Kübra - Turhan, Sercan - Maden, Selahattin - İşcan, İmdat. “Hermite-Hadamard Type Integral Inequalities for Strongly GA-Convex Functions”. Turkish Journal of Mathematics and Computer Science 10 (December 1, 2018): 178-183. https://izlik.org/JA97PH32JE.
JAMA
1.Demirel AK, Turhan S, Maden S, İşcan İ. Hermite-Hadamard Type Integral Inequalities for Strongly GA-convex Functions. TJMCS. 2018;10:178–183.
MLA
Demirel, Ayşe Kübra, et al. “Hermite-Hadamard Type Integral Inequalities for Strongly GA-Convex Functions”. Turkish Journal of Mathematics and Computer Science, vol. 10, Dec. 2018, pp. 178-83, https://izlik.org/JA97PH32JE.
Vancouver
1.Ayşe Kübra Demirel, Sercan Turhan, Selahattin Maden, İmdat İşcan. Hermite-Hadamard Type Integral Inequalities for Strongly GA-convex Functions. TJMCS [Internet]. 2018 Dec. 1;10:178-83. Available from: https://izlik.org/JA97PH32JE