Research Article

New Ostrowski type inequalities for GA-convex functions

Volume: 4 Number: 4 December 31, 2016
EN

New Ostrowski type inequalities for GA-convex functions

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

References

  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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

İmdat Iscan This is me
Türkiye

Mehmet Kunt This is me
Türkiye

Publication Date

December 31, 2016

Submission Date

August 18, 2016

Acceptance Date

September 9, 2016

Published in Issue

Year 2016 Volume: 4 Number: 4

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, and 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 (December 1, 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, and M. Kunt, “New Ostrowski type inequalities for GA-convex functions”, New Trends in Mathematical Sciences, vol. 4, no. 4, pp. 1–11, Dec. 2016, [Online]. Available: 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 (December 1, 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, et al. “New Ostrowski Type Inequalities for GA-Convex Functions”. New Trends in Mathematical Sciences, vol. 4, no. 4, Dec. 2016, pp. 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]. 2016 Dec. 1;4(4):1-11. Available from: https://izlik.org/JA75JY58RA