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On some Hermite-Hadamard type inequalities for strongly s-convex functions

Cilt: 5 Sayı: 3 1 Temmuz 2017
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On some Hermite-Hadamard type inequalities for strongly s-convex functions

Abstract

In this paper, we establish some new results related to the left-hand of the
Hermite-Hadamard type inequalities for the class of functions whose second
derivatives are strongly s-convex functions in the second sense. 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. Pecaric, Note on some Hadamard-type inequalities, Journal of Inequalities in Pure and Applied Mathematics, vol. 5, no. 3, article 74, 2004.
  3. S. S. Dragomir and C. E. M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.
  4. 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.
  5. H. Hudzik, L. Maligranda, Some remarks on s−convex functions. Aequ. Math. 48, 100-111 (1994).
  6. J. Mako and A. Hazy, On strongly convex functions. Carpathian Journal of Mathematics, 32 (1). 87-95.
  7. N. Merentes, K. Nikodem, Remarks on strongly convex functions, Aequationes Math. 80 (2010) 193–199.
  8. K. Nikodem, Z. Pales, Characterizations of inner product spaces be strongly convex functions, Banach J. Math. Anal. 5 (2011) 83–87.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Hasan Ogunmez Bu kişi benim
Türkiye

Huseyin Budak Bu kişi benim
Türkiye

Yayımlanma Tarihi

1 Temmuz 2017

Gönderilme Tarihi

13 Aralık 2016

Kabul Tarihi

27 Şubat 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 5 Sayı: 3

Kaynak Göster

APA
Erdem, Y., Ogunmez, H., & Budak, H. (2017). On some Hermite-Hadamard type inequalities for strongly s-convex functions. New Trends in Mathematical Sciences, 5(3), 154-161. https://izlik.org/JA59XL58EL
AMA
1.Erdem Y, Ogunmez H, Budak H. On some Hermite-Hadamard type inequalities for strongly s-convex functions. New Trends in Mathematical Sciences. 2017;5(3):154-161. https://izlik.org/JA59XL58EL
Chicago
Erdem, Yusuf, Hasan Ogunmez, ve Huseyin Budak. 2017. “On some Hermite-Hadamard type inequalities for strongly s-convex functions”. New Trends in Mathematical Sciences 5 (3): 154-61. https://izlik.org/JA59XL58EL.
EndNote
Erdem Y, Ogunmez H, Budak H (01 Temmuz 2017) On some Hermite-Hadamard type inequalities for strongly s-convex functions. New Trends in Mathematical Sciences 5 3 154–161.
IEEE
[1]Y. Erdem, H. Ogunmez, ve H. Budak, “On some Hermite-Hadamard type inequalities for strongly s-convex functions”, New Trends in Mathematical Sciences, c. 5, sy 3, ss. 154–161, Tem. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA59XL58EL
ISNAD
Erdem, Yusuf - Ogunmez, Hasan - Budak, Huseyin. “On some Hermite-Hadamard type inequalities for strongly s-convex functions”. New Trends in Mathematical Sciences 5/3 (01 Temmuz 2017): 154-161. https://izlik.org/JA59XL58EL.
JAMA
1.Erdem Y, Ogunmez H, Budak H. On some Hermite-Hadamard type inequalities for strongly s-convex functions. New Trends in Mathematical Sciences. 2017;5:154–161.
MLA
Erdem, Yusuf, vd. “On some Hermite-Hadamard type inequalities for strongly s-convex functions”. New Trends in Mathematical Sciences, c. 5, sy 3, Temmuz 2017, ss. 154-61, https://izlik.org/JA59XL58EL.
Vancouver
1.Yusuf Erdem, Hasan Ogunmez, Huseyin Budak. On some Hermite-Hadamard type inequalities for strongly s-convex functions. New Trends in Mathematical Sciences [Internet]. 01 Temmuz 2017;5(3):154-61. Erişim adresi: https://izlik.org/JA59XL58EL