Araştırma Makalesi

Some generalized inequalities of Hermite-Hadamard type for strongly s-convex functions

Cilt: 5 Sayı: 3 1 Temmuz 2017
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Some generalized inequalities of Hermite-Hadamard type for strongly s-convex functions

Abstract

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

Keywords

Kaynakça

  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. Pečarić, Note on some Hadamard-type inequalities, Journal of Inequalities in Pure and Applied Mathematics, vol. 5, no. 3, article 74, 2004.
  3. M. V. Cortez, Relative strongly h-convex functions and integral inequalities, Appl. Math. Inf. Sci. Lett. 4, No. 2, 1-7 (2016).
  4. S. S. Dragomir and C. E. M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.
  5. 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.
  6. H. Hudzik, L. Maligranda, Some remarks on s-convex functions. Aequ. Math. 48, 100-111 (1994).
  7. M. E. Kiris and M. Z. Sarikaya, Some generalized inequalities for Hermite-Hadamard’s integral inequalities and applications, submited (2015).
  8. J. Makó and A. Házy, On strongly convex functions. Carpathian Journal of Mathematics, 32 (1). 87-95.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yusuf Erdem * Bu kişi benim
Türkiye

Hasan Ogunmez Bu kişi benim
Türkiye

Yayımlanma Tarihi

1 Temmuz 2017

Gönderilme Tarihi

18 Kasım 2016

Kabul Tarihi

7 Aralık 2016

Yayımlandığı Sayı

Yıl 2017 Cilt: 5 Sayı: 3

Kaynak Göster

APA
Erdem, Y., Ogunmez, H., & Budak, H. (2017). Some generalized inequalities of Hermite-Hadamard type for strongly s-convex functions. New Trends in Mathematical Sciences, 5(3), 22-32. https://izlik.org/JA27MR23YP
AMA
1.Erdem Y, Ogunmez H, Budak H. Some generalized inequalities of Hermite-Hadamard type for strongly s-convex functions. New Trends in Mathematical Sciences. 2017;5(3):22-32. https://izlik.org/JA27MR23YP
Chicago
Erdem, Yusuf, Hasan Ogunmez, ve Huseyin Budak. 2017. “Some generalized inequalities of Hermite-Hadamard type for strongly s-convex functions”. New Trends in Mathematical Sciences 5 (3): 22-32. https://izlik.org/JA27MR23YP.
EndNote
Erdem Y, Ogunmez H, Budak H (01 Temmuz 2017) Some generalized inequalities of Hermite-Hadamard type for strongly s-convex functions. New Trends in Mathematical Sciences 5 3 22–32.
IEEE
[1]Y. Erdem, H. Ogunmez, ve H. Budak, “Some generalized inequalities of Hermite-Hadamard type for strongly s-convex functions”, New Trends in Mathematical Sciences, c. 5, sy 3, ss. 22–32, Tem. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA27MR23YP
ISNAD
Erdem, Yusuf - Ogunmez, Hasan - Budak, Huseyin. “Some generalized inequalities of Hermite-Hadamard type for strongly s-convex functions”. New Trends in Mathematical Sciences 5/3 (01 Temmuz 2017): 22-32. https://izlik.org/JA27MR23YP.
JAMA
1.Erdem Y, Ogunmez H, Budak H. Some generalized inequalities of Hermite-Hadamard type for strongly s-convex functions. New Trends in Mathematical Sciences. 2017;5:22–32.
MLA
Erdem, Yusuf, vd. “Some generalized inequalities of Hermite-Hadamard type for strongly s-convex functions”. New Trends in Mathematical Sciences, c. 5, sy 3, Temmuz 2017, ss. 22-32, https://izlik.org/JA27MR23YP.
Vancouver
1.Yusuf Erdem, Hasan Ogunmez, Huseyin Budak. Some generalized inequalities of Hermite-Hadamard type for strongly s-convex functions. New Trends in Mathematical Sciences [Internet]. 01 Temmuz 2017;5(3):22-3. Erişim adresi: https://izlik.org/JA27MR23YP