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
- 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.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yazarlar
Hüsnü Anıl Çoban
*
Türkiye
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