Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2016, Cilt: 4 Sayı: 4, 1 - 11, 31.12.2016

Öz

Kaynakça

  • 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.
  • S. S. Dragomir, T. M. Rassias, Ostrowski type inequalities and applications in numerical integration, Kluwer Academic Publishers, 2002.
  • I. Iscan, Hermite-Hadamard type inequalities for GA-s-convex functions,Le Matematiche, Vol. LXIX (2014) 129-146.
  • I. Iscan, Ostrowski type inequalities for harmonically s-convex functions, Konuralp Jurnal of Mathematics, Volume 3, No 1 (2015) 63-74.
  • I. Iscan, S. Numan, Ostrowski type inequalities for harmonically quasi-convex functions, Elect. J. Math. Anal. App., 2(2) (2014) 189-198.
  • C. P. Niculescu, Convexity according to the geometric mean, Math. Inequal. Appl. 3 (2) (2000), 155–167.
  • A. Ostrowski, ¨Uber die Absolutabweichung einer differentienbaren Funktionen von ihren Integralmittelwert. Comment. Math. Hel, 10 (1938), 226–227.
  • M. E. ¨Ozdemir, C¸ . Yıldız, New Ostrowski Type Inequalities for Geometrically Convex Functions, Int. J. Modern Math. Sci., 8(1) (2013) 27-35.
  • E. Set, M. E. ¨Ozdemir, M. Z. Sarıkaya, New inequalities of Ostrowski’s type for s-convex functions in the second sense with applications, Facta Uni. Ser. Math. Inform. 27(1) (2012) 67-82.

New Ostrowski type inequalities for GA-convex functions

Yıl 2016, Cilt: 4 Sayı: 4, 1 - 11, 31.12.2016

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.

Kaynakça

  • 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.
  • S. S. Dragomir, T. M. Rassias, Ostrowski type inequalities and applications in numerical integration, Kluwer Academic Publishers, 2002.
  • I. Iscan, Hermite-Hadamard type inequalities for GA-s-convex functions,Le Matematiche, Vol. LXIX (2014) 129-146.
  • I. Iscan, Ostrowski type inequalities for harmonically s-convex functions, Konuralp Jurnal of Mathematics, Volume 3, No 1 (2015) 63-74.
  • I. Iscan, S. Numan, Ostrowski type inequalities for harmonically quasi-convex functions, Elect. J. Math. Anal. App., 2(2) (2014) 189-198.
  • C. P. Niculescu, Convexity according to the geometric mean, Math. Inequal. Appl. 3 (2) (2000), 155–167.
  • A. Ostrowski, ¨Uber die Absolutabweichung einer differentienbaren Funktionen von ihren Integralmittelwert. Comment. Math. Hel, 10 (1938), 226–227.
  • M. E. ¨Ozdemir, C¸ . Yıldız, New Ostrowski Type Inequalities for Geometrically Convex Functions, Int. J. Modern Math. Sci., 8(1) (2013) 27-35.
  • E. Set, M. E. ¨Ozdemir, M. Z. Sarıkaya, New inequalities of Ostrowski’s type for s-convex functions in the second sense with applications, Facta Uni. Ser. Math. Inform. 27(1) (2012) 67-82.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Hüsnü Anıl Çoban

İmdat Iscan Bu kişi benim

Mehmet Kunt Bu kişi benim

Yayımlanma Tarihi 31 Aralık 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.
AMA Çoban HA, Iscan İ, Kunt M. New Ostrowski type inequalities for GA-convex functions. New Trends in Mathematical Sciences. Aralık 2016;4(4):1-11.
Chicago Çoban, Hüsnü Anıl, İmdat Iscan, ve Mehmet Kunt. “New Ostrowski Type Inequalities for GA-Convex Functions”. New Trends in Mathematical Sciences 4, sy. 4 (Aralık 2016): 1-11.
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 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, 2016.
ISNAD Çoban, Hüsnü Anıl vd. “New Ostrowski Type Inequalities for GA-Convex Functions”. New Trends in Mathematical Sciences 4/4 (Aralık 2016), 1-11.
JAMA 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, 2016, ss. 1-11.
Vancouver Çoban HA, Iscan İ, Kunt M. New Ostrowski type inequalities for GA-convex functions. New Trends in Mathematical Sciences. 2016;4(4):1-11.