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Hermite-Hadamard Type Integral Inequalities for Strongly p-convex FUnctions

Year 2018, Volume: 10, 184 - 189, 29.12.2018
https://izlik.org/JA67GW98CJ

Abstract

In this paper we obtain the Hermite-Hadamard Inequality for strongly p-convex function. Using this strongly p-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.
  • Zhang, K. S., Wan, J. P. (2007). p-convex functions and their properties. Pure Appl. Math. 23(1), 130-133.

Year 2018, Volume: 10, 184 - 189, 29.12.2018
https://izlik.org/JA67GW98CJ

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.
  • Zhang, K. S., Wan, J. P. (2007). p-convex functions and their properties. Pure Appl. Math. 23(1), 130-133.
There are 10 citations in total.

Details

Primary Language English
Journal Section Conference Paper
Authors

Ayşe Kübra Demirel

Sercan Turhan This is me

Selahattin Maden

İmdat İşcan

Publication Date December 29, 2018
IZ https://izlik.org/JA67GW98CJ
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 p-convex FUnctions. Turkish Journal of Mathematics and Computer Science, 10, 184-189. https://izlik.org/JA67GW98CJ
AMA 1.Demirel AK, Turhan S, Maden S, İşcan İ. Hermite-Hadamard Type Integral Inequalities for Strongly p-convex FUnctions. TJMCS. 2018;10:184-189. https://izlik.org/JA67GW98CJ
Chicago Demirel, Ayşe Kübra, Sercan Turhan, Selahattin Maden, and İmdat İşcan. 2018. “Hermite-Hadamard Type Integral Inequalities for Strongly P-Convex FUnctions”. Turkish Journal of Mathematics and Computer Science 10 (December): 184-89. https://izlik.org/JA67GW98CJ.
EndNote Demirel AK, Turhan S, Maden S, İşcan İ (December 1, 2018) Hermite-Hadamard Type Integral Inequalities for Strongly p-convex FUnctions. Turkish Journal of Mathematics and Computer Science 10 184–189.
IEEE [1]A. K. Demirel, S. Turhan, S. Maden, and İ. İşcan, “Hermite-Hadamard Type Integral Inequalities for Strongly p-convex FUnctions”, TJMCS, vol. 10, pp. 184–189, Dec. 2018, [Online]. Available: https://izlik.org/JA67GW98CJ
ISNAD Demirel, Ayşe Kübra - Turhan, Sercan - Maden, Selahattin - İşcan, İmdat. “Hermite-Hadamard Type Integral Inequalities for Strongly P-Convex FUnctions”. Turkish Journal of Mathematics and Computer Science 10 (December 1, 2018): 184-189. https://izlik.org/JA67GW98CJ.
JAMA 1.Demirel AK, Turhan S, Maden S, İşcan İ. Hermite-Hadamard Type Integral Inequalities for Strongly p-convex FUnctions. TJMCS. 2018;10:184–189.
MLA Demirel, Ayşe Kübra, et al. “Hermite-Hadamard Type Integral Inequalities for Strongly P-Convex FUnctions”. Turkish Journal of Mathematics and Computer Science, vol. 10, Dec. 2018, pp. 184-9, https://izlik.org/JA67GW98CJ.
Vancouver 1.Demirel AK, Turhan S, Maden S, İşcan İ. Hermite-Hadamard Type Integral Inequalities for Strongly p-convex FUnctions. TJMCS [Internet]. 2018 Dec. 1;10:184-9. Available from: https://izlik.org/JA67GW98CJ