SavedAdd your journal

Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 5

On the Ostrowski-Grüss type inequality for twice differentiable functions

Ahmet Ocak AKDEMİR
M. Emin OZDEMİR
Erhan SET
Pages
651–655
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper we obtain some new Ostrowski-Gr ̈uss type inequalities containing twice differentiable functions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we obtain some new Ostrowski-Gr ̈uss type inequalities containing twice differentiable functions.
📊
Key Findings & Data:In this paper we obtain some new Ostrowski-Gr ̈uss type inequalities containing twice differentiable functions.
💡
Conclusion & Impact:In this paper we obtain some new Ostrowski-Gr ̈uss type inequalities containing twice differentiable functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper we obtain some new Ostrowski-Gr ̈uss type inequalities containing twice differentiable functions.

🔖

Cite This Article

AKDEMİR, A. O., OZDEMİR, M. E., SET, E. (2022). On the Ostrowski-Grüss type inequality for twice differentiable functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 5, 651–655. https://ajindex.com/articles/530452

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (15)

  1. Anastassiou, G. A. Ostrowski type inequalities, Proc. Amer. Math. Soc. 123, 3775–3781, 1995
  2. Cerone, P, Dragomir, S. S. Roumeliotis, J. An inequality of Ostrowski-Gruss type for twice differentiable mappings and applications in numerical inte gration, KYUNGPOOK Math. J. 39 (2), 331–341, 1999
  3. Cheng, X.L. Improvement of some Ostrowski-Gr ̈uss type inequalities, Computers & Math- ematics with Applications 42 (1/2), 109–114, 2001
  4. Dragomir, S.S. and Wang, S. An inequality of Ostrowski-Gruss type and its applications to the estimation of error bounds for some special means and for some numeraical quadrature rules, Computers & Mathematics with Applications 33 (11), 15–20, 1997
  5. Feng, Q. and Meng, F. Some generalized Ostrowski–Gruss type integral inequalities, Com-puters & Mathematics with Applications 63(3), 652–659, 2012
  6. Liu, Z. Some Ostrowski Gruss type inequalities and applications, Computers & Mathematics with Applications 53, 73–79, 2007
  7. Liu, Z.A sharp generalized Ostrowski-Gruss inequality, Tamsui Oxford Journal of Mathe-matical Sciences 24 (2), 175–184, 2008
  8. Matic, M., Pecaric, J. and Ujevic, N.Improvement and further generalization of some inequalities of Ostrowski-Gruss type, Computers & Mathematics with Applications 39(3/4),161–175, 2000
  9. Milovanovic, G.V. and Pecaric, J. E.On generalization of the inequality of A. Ostrowski and some related applications, Univ. Beograd Publ. Elektrotehn. Fak. Ser. Mat. Fiz. (544-576),155–158, 1976
  10. Niezgoda, M.A new inequality of Ostrowski–Gruss type and applications to some numerical quadrature rules, Computers & Mathematics with Applications 58 (3), 589–596, 2009
  11. Ostrowski, A. Uber die Absolutabweichung einer differentierbaren Funkti on von ihren Inte-gralmittelwert, Comment. Math. Helv. 10, 226–227, 1938. [12]Ozdemir, M.E., Kavurmacı, H. and Set, E. Ostrowski’s type inequalities for (α, m)-convex functions, KYUNGPOOK Math. J. 50, 371–378, 2010
  12. Pachpatte, B.G. On Cebysev-Gruss type inequalities via Pecaric’s extens ion of the Mont-gomery identity, J. Inequal. Pure Appl. Math. 7 (1), Article 11, 2006
  13. Pearce, C.E.M., Pecaric, J., Ujevic, N. and Varos, S. Generalizations of some inequalities of Ostrowski Gr ̈uss type, Math. Inequal. Appl.3 (1), 25–34, 2000
  14. Sarıkaya, M.Z.On the Ostrowski type integral inequality, Acta Math. Univ. Comenianee LXXIX (1), 129–134, 2010
  15. Tong, F. and Guan, L.A simple proof of the generalized Ostrowski-Gr ̈uss type int e