EN
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
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- 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.
- 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.
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Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
1 Temmuz 2017
Gönderilme Tarihi
3 Mayıs 2017
Kabul Tarihi
17 Haziran 2017
Yayımlandığı Sayı
Yıl 2017 Cilt: 5 Sayı: 3
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