Araştırma Makalesi

New Ostrowski type inequalities for GA-convex functions

Cilt: 4 Sayı: 4 31 Aralık 2016
PDF İndir
EN

New Ostrowski type inequalities for GA-convex functions

Öz

In this work, we reveal a new equality for differentiable functions. By using this equality, we have some new Ostrowki type inequalities and some error estimates for the midpoint formula for functions whose derivatives in absolute values at certain powers are GA-convex.

Anahtar Kelimeler

Kaynakça

  1. M. Alomari,M. Darus, Some Ostrowski’s type inequalities for convex functions with applications, RGMIA Res.Rep. Collect., 13(1) (2010), Article 3, 1-14.
  2. S. S. Dragomir, T. M. Rassias, Ostrowski type inequalities and applications in numerical integration, Kluwer Academic Publishers, 2002.
  3. I. Iscan, Hermite-Hadamard type inequalities for GA-s-convex functions,Le Matematiche, Vol. LXIX (2014) 129-146.
  4. I. Iscan, Ostrowski type inequalities for harmonically s-convex functions, Konuralp Jurnal of Mathematics, Volume 3, No 1 (2015) 63-74.
  5. I. Iscan, S. Numan, Ostrowski type inequalities for harmonically quasi-convex functions, Elect. J. Math. Anal. App., 2(2) (2014) 189-198.
  6. C. P. Niculescu, Convexity according to the geometric mean, Math. Inequal. Appl. 3 (2) (2000), 155–167.
  7. A. Ostrowski, ¨Uber die Absolutabweichung einer differentienbaren Funktionen von ihren Integralmittelwert. Comment. Math. Hel, 10 (1938), 226–227.
  8. M. E. ¨Ozdemir, C¸ . Yıldız, New Ostrowski Type Inequalities for Geometrically Convex Functions, Int. J. Modern Math. Sci., 8(1) (2013) 27-35.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

İmdat Iscan Bu kişi benim
Türkiye

Mehmet Kunt Bu kişi benim
Türkiye

Yayımlanma Tarihi

31 Aralık 2016

Gönderilme Tarihi

18 Ağustos 2016

Kabul Tarihi

9 Eylül 2016

Yayımlandığı Sayı

Yıl 2016 Cilt: 4 Sayı: 4

Kaynak Göster

APA
Çoban, H. A., Iscan, İ., & Kunt, M. (2016). New Ostrowski type inequalities for GA-convex functions. New Trends in Mathematical Sciences, 4(4), 1-11. https://izlik.org/JA75JY58RA
AMA
1.Çoban HA, Iscan İ, Kunt M. New Ostrowski type inequalities for GA-convex functions. New Trends in Mathematical Sciences. 2016;4(4):1-11. https://izlik.org/JA75JY58RA
Chicago
Çoban, Hüsnü Anıl, İmdat Iscan, ve Mehmet Kunt. 2016. “New Ostrowski type inequalities for GA-convex functions”. New Trends in Mathematical Sciences 4 (4): 1-11. https://izlik.org/JA75JY58RA.
EndNote
Çoban HA, Iscan İ, Kunt M (01 Aralık 2016) New Ostrowski type inequalities for GA-convex functions. New Trends in Mathematical Sciences 4 4 1–11.
IEEE
[1]H. A. Çoban, İ. Iscan, ve M. Kunt, “New Ostrowski type inequalities for GA-convex functions”, New Trends in Mathematical Sciences, c. 4, sy 4, ss. 1–11, Ara. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA75JY58RA
ISNAD
Çoban, Hüsnü Anıl - Iscan, İmdat - Kunt, Mehmet. “New Ostrowski type inequalities for GA-convex functions”. New Trends in Mathematical Sciences 4/4 (01 Aralık 2016): 1-11. https://izlik.org/JA75JY58RA.
JAMA
1.Çoban HA, Iscan İ, Kunt M. New Ostrowski type inequalities for GA-convex functions. New Trends in Mathematical Sciences. 2016;4:1–11.
MLA
Çoban, Hüsnü Anıl, vd. “New Ostrowski type inequalities for GA-convex functions”. New Trends in Mathematical Sciences, c. 4, sy 4, Aralık 2016, ss. 1-11, https://izlik.org/JA75JY58RA.
Vancouver
1.Hüsnü Anıl Çoban, İmdat Iscan, Mehmet Kunt. New Ostrowski type inequalities for GA-convex functions. New Trends in Mathematical Sciences [Internet]. 01 Aralık 2016;4(4):1-11. Erişim adresi: https://izlik.org/JA75JY58RA