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

Yıl 2018, Cilt: 10, 178 - 183, 29.12.2018

Öz

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

Kaynakça

  • 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.
Yıl 2018, Cilt: 10, 178 - 183, 29.12.2018

Öz

Kaynakça

  • 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.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Ayşe Kübra Demirel

Sercan Turhan Bu kişi benim

Selahattin Maden

İmdat İşcan

Yayımlanma Tarihi 29 Aralık 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 10

Kaynak Göster

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. Aralık 2018;10:178-183.
Chicago Demirel, Ayşe Kübra, Sercan Turhan, Selahattin Maden, ve İmdat İşcan. “Hermite-Hadamard Type Integral Inequalities for Strongly GA-Convex Functions”. Turkish Journal of Mathematics and Computer Science 10, Aralık (Aralık 2018): 178-83.
EndNote Demirel AK, Turhan S, Maden S, İşcan İ (01 Aralık 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, ve İ. İşcan, “Hermite-Hadamard Type Integral Inequalities for Strongly GA-convex Functions”, TJMCS, c. 10, ss. 178–183, 2018.
ISNAD Demirel, Ayşe Kübra vd. “Hermite-Hadamard Type Integral Inequalities for Strongly GA-Convex Functions”. Turkish Journal of Mathematics and Computer Science 10 (Aralık 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 vd. “Hermite-Hadamard Type Integral Inequalities for Strongly GA-Convex Functions”. Turkish Journal of Mathematics and Computer Science, c. 10, 2018, ss. 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.