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Year 2016, Volume: 4 Issue: 4, 1 - 11, 31.12.2016

Hüsnü Anıl Çoban İmdat Iscan Mehmet Kunt

Abstract

References

  • 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

Year 2016, Volume: 4 Issue: 4, 1 - 11, 31.12.2016

Hüsnü Anıl Çoban İmdat Iscan Mehmet Kunt

Abstract

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.

Keywords

Ostrowski type inequalities midpoint type inequalities

References

  • 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.
There are 9 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Hüsnü Anıl Çoban

İmdat Iscan This is me

Mehmet Kunt This is me

Publication Date December 31, 2016
Published in Issue Year 2016 Volume: 4 Issue: 4

Cite

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. December 2016;4(4):1-11.
Chicago Çoban, Hüsnü Anıl, İmdat Iscan, and Mehmet Kunt. “New Ostrowski Type Inequalities for GA-Convex Functions”. New Trends in Mathematical Sciences 4, no. 4 (December 2016): 1-11.
EndNote Çoban HA, Iscan İ, Kunt M (December 1, 2016) New Ostrowski type inequalities for GA-convex functions. New Trends in Mathematical Sciences 4 4 1–11.
IEEE H. A. Çoban, İ. Iscan, and M. Kunt, “New Ostrowski type inequalities for GA-convex functions”, New Trends in Mathematical Sciences, vol. 4, no. 4, pp. 1–11, 2016.
ISNAD Çoban, Hüsnü Anıl et al. “New Ostrowski Type Inequalities for GA-Convex Functions”. New Trends in Mathematical Sciences 4/4 (December 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 et al. “New Ostrowski Type Inequalities for GA-Convex Functions”. New Trends in Mathematical Sciences, vol. 4, no. 4, 2016, pp. 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.