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On the Hermite-Hadamard's and Ostrowski's inequalities for the co-ordinated convex functions

Cilt: 5 Sayı: 3 1 Temmuz 2017
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On the Hermite-Hadamard's and Ostrowski's inequalities for the co-ordinated convex functions

Abstract

In this paper, we give new some inequalities of Hermite-Hadamard's and Ostrowski's type for convex functions on the co-ordinates defined in a rectangle from the plane. Our established results generalize some recent results for functions whose partial derivatives in absolute value are convex on the co-ordinates on the rectangle from the plane.

Keywords

Kaynakça

  1. M. Alomari andM. Darus, Co-ordinated s-convex function in the first sense with some Hadamard-type inequalities, Int. J. Contemp. Math. Sciences, 3 (32) (2008), 1557-1567.
  2. M. Alomari and M. Darus, On the Hadamard’s inequality for log-convex functions on the coordinates, J. of Inequal. and Appl, Article ID 283147, (2009), 13 pages.
  3. N. S. Barnett and S. S. Dragomir, An Ostrowski type inequality for double integrals and applications for cubature formulae, Soochow J. Math., 27 (1), (2001), 109-114.
  4. P. Cerone and S. S. Dragomir, Ostrowski type inequalities for functions whose derivatives satisfy certain convexity assumptions, Demonstratio Math., 37 (2004), no. 2, 299-308.
  5. F. Chen, On Hermite-Hadamard type inequalities for s-convex functions on the coordinates via Riemann-Liouville fractional integrals, Journal of Applied Mathematics, Volume 2014, Article ID 248710, 8 pages.
  6. S. S. Dragomir, On Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese Journal of Mathematics, 4 (2001), 775-788.
  7. J. Hadamard, Etude sur les proprietes des fonctions entieres et en particulier d’une fonction considree par, Riemann, J. Math. Pures. et Appl. 58 (1893), 171–215.
  8. M. A. Latif, S. Hussain and S. S. Dragomir, New Ostrowski type inequalities for co-ordinated convex functions, TJMM, 4 (2012), No. 2, 125-136.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Mehmet Zeki Sarikaya Bu kişi benim
Türkiye

Yayımlanma Tarihi

1 Temmuz 2017

Gönderilme Tarihi

3 Mayıs 2017

Kabul Tarihi

17 Haziran 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 5 Sayı: 3

Kaynak Göster

APA
Erden, S., & Sarikaya, M. Z. (2017). On the Hermite-Hadamard’s and Ostrowski’s inequalities for the co-ordinated convex functions. New Trends in Mathematical Sciences, 5(3), 33-45. https://izlik.org/JA28GU37LL
AMA
1.Erden S, Sarikaya MZ. On the Hermite-Hadamard’s and Ostrowski’s inequalities for the co-ordinated convex functions. New Trends in Mathematical Sciences. 2017;5(3):33-45. https://izlik.org/JA28GU37LL
Chicago
Erden, Samet, ve Mehmet Zeki Sarikaya. 2017. “On the Hermite-Hadamard’s and Ostrowski’s inequalities for the co-ordinated convex functions”. New Trends in Mathematical Sciences 5 (3): 33-45. https://izlik.org/JA28GU37LL.
EndNote
Erden S, Sarikaya MZ (01 Temmuz 2017) On the Hermite-Hadamard’s and Ostrowski’s inequalities for the co-ordinated convex functions. New Trends in Mathematical Sciences 5 3 33–45.
IEEE
[1]S. Erden ve M. Z. Sarikaya, “On the Hermite-Hadamard’s and Ostrowski’s inequalities for the co-ordinated convex functions”, New Trends in Mathematical Sciences, c. 5, sy 3, ss. 33–45, Tem. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA28GU37LL
ISNAD
Erden, Samet - Sarikaya, Mehmet Zeki. “On the Hermite-Hadamard’s and Ostrowski’s inequalities for the co-ordinated convex functions”. New Trends in Mathematical Sciences 5/3 (01 Temmuz 2017): 33-45. https://izlik.org/JA28GU37LL.
JAMA
1.Erden S, Sarikaya MZ. On the Hermite-Hadamard’s and Ostrowski’s inequalities for the co-ordinated convex functions. New Trends in Mathematical Sciences. 2017;5:33–45.
MLA
Erden, Samet, ve Mehmet Zeki Sarikaya. “On the Hermite-Hadamard’s and Ostrowski’s inequalities for the co-ordinated convex functions”. New Trends in Mathematical Sciences, c. 5, sy 3, Temmuz 2017, ss. 33-45, https://izlik.org/JA28GU37LL.
Vancouver
1.Samet Erden, Mehmet Zeki Sarikaya. On the Hermite-Hadamard’s and Ostrowski’s inequalities for the co-ordinated convex functions. New Trends in Mathematical Sciences [Internet]. 01 Temmuz 2017;5(3):33-45. Erişim adresi: https://izlik.org/JA28GU37LL