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

Year 2018, Volume: 10, 178 - 183, 29.12.2018

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

References

  • Angulo, H., & Gimenez, J., & Moros, A. M., & Nikodem, K. (2011). On strongly h-convex functions. Annals of Functional Analysis, No.2, 85-91.
  • 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.
  • İşcan, İ. (2014). Hermite-Hadamard type inequaities for harmonically convex functions. Hacettepe Journal of Mathematics and Statistic 43(6), 935-942.
  • 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.
  • Niculescu, P.C. (2000). Convexity according to the geometric mean. Mathematical Inequalities and Applications, No.2(3), 155-167.
  • Niculescu, P.C. (2003). Convexity according to means. Mathematical Inequalities and Applications, No.4(6), 571-579.
  • 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.
  • Turhan, S., & İşcan, İ., & Kunt, M. (2017). Hermite-Hadamard type inequalities for M_φ A convex functions.
  • Turhan, S., & Okur, N., & Maden, S. (2016). Hermite-Hadamard type inequality for strongly convex functions via sugeno integrals. Sigma J Eng and Nat. Sci., 8(1), 1-10.
Year 2018, Volume: 10, 178 - 183, 29.12.2018

Abstract

References

  • Angulo, H., & Gimenez, J., & Moros, A. M., & Nikodem, K. (2011). On strongly h-convex functions. Annals of Functional Analysis, No.2, 85-91.
  • 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.
  • İşcan, İ. (2014). Hermite-Hadamard type inequaities for harmonically convex functions. Hacettepe Journal of Mathematics and Statistic 43(6), 935-942.
  • 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.
  • Niculescu, P.C. (2000). Convexity according to the geometric mean. Mathematical Inequalities and Applications, No.2(3), 155-167.
  • Niculescu, P.C. (2003). Convexity according to means. Mathematical Inequalities and Applications, No.4(6), 571-579.
  • 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.
  • Turhan, S., & İşcan, İ., & Kunt, M. (2017). Hermite-Hadamard type inequalities for M_φ A convex functions.
  • Turhan, S., & Okur, N., & Maden, S. (2016). Hermite-Hadamard type inequality for strongly convex functions via sugeno integrals. Sigma J Eng and Nat. Sci., 8(1), 1-10.
There are 9 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Ayşe Kübra Demirel

Sercan Turhan This is me

Selahattin Maden

İmdat İşcan

Publication Date December 29, 2018
Published in Issue Year 2018 Volume: 10

Cite

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.
AMA Demirel AK, Turhan S, Maden S, İşcan İ. Hermite-Hadamard Type Integral Inequalities for Strongly GA-convex Functions. TJMCS. December 2018;10:178-183.
Chicago Demirel, Ayşe Kübra, Sercan Turhan, Selahattin Maden, and İmdat İşcan. “Hermite-Hadamard Type Integral Inequalities for Strongly GA-Convex Functions”. Turkish Journal of Mathematics and Computer Science 10, December (December 2018): 178-83.
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 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, 2018.
ISNAD Demirel, Ayşe Kübra et al. “Hermite-Hadamard Type Integral Inequalities for Strongly GA-Convex Functions”. Turkish Journal of Mathematics and Computer Science 10 (December 2018), 178-183.
JAMA 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, 2018, pp. 178-83.
Vancouver Demirel AK, Turhan S, Maden S, İşcan İ. Hermite-Hadamard Type Integral Inequalities for Strongly GA-convex Functions. TJMCS. 2018;10:178-83.