A NEW GENERALIZATION OF OSTROWSKI TYPE INEQUALITIES ON ARBITRARY TIME SCALE

Volume: 9 Number: 2 June 1, 2019
  • A. Tuna
EN

A NEW GENERALIZATION OF OSTROWSKI TYPE INEQUALITIES ON ARBITRARY TIME SCALE

Abstract

In this paper, a new generalization of Ostrowski type inequalities for twice diferentiable mappings on time scales and some other interesting inequalities as special cases are given.

Keywords

References

  1. Agarwal, R., Bohner, M. and Peterson, A., (2001), Inequalities on time scales: a survey, Math. Inequal. Appl., 4, pp. 535-557.
  2. Bohner, M. and Peterson, A., (2001), Dynamic Equations on Time Scales. An Introduction with
  3. Applications, Birkh¨auser Boston, Inc., Boston, MA. Bohner, M. and Peterson, A., (2003), Advances in dynamic equations on time scales, Birkh¨auser Boston, Boston, MA.
  4. Bohner, M. and Matthews, T., (2008), Ostrowski inequalities on time scales, JIPAM. J. Inequal. Pure Appl. Math., 9, Article 6, 8 pp.
  5. Bohner, E. A., Bohner, M. and Matthews, T., (2012), Time scales Ostrowski and Gr¨uss type inequal- ities involving three functions, Nonlinear dynamics and systems theory, vol. 12, no. 2, pp. 119-135.
  6. Cerone, P., Dragomir, S. S. and Roumeliotis, J., (1998), An inequality of Ostrowski type for mappings whose second derivatives are bounded and applications, RGMIA Research Report Collection 1, 33-39.
  7. Dragomir, S.S. and Barnett, N.S., (1998), An Ostrowski type inequality for mappings whose second derivatives are bounded and applications, RGMIA Research Report Collection 1, pp. 69-77.
  8. Hilger, S., (1988), Ein Maβkettenkalk¨ul mit Anwendung auf Zentrumsmannigfaltigkeiten, Ph.D. thesis

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

A. Tuna This is me

Publication Date

June 1, 2019

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2019 Volume: 9 Number: 2

APA
Tuna, A. (2019). A NEW GENERALIZATION OF OSTROWSKI TYPE INEQUALITIES ON ARBITRARY TIME SCALE. TWMS Journal of Applied and Engineering Mathematics, 9(2), 172-185. https://izlik.org/JA97BK52DS
AMA
1.Tuna A. A NEW GENERALIZATION OF OSTROWSKI TYPE INEQUALITIES ON ARBITRARY TIME SCALE. JAEM. 2019;9(2):172-185. https://izlik.org/JA97BK52DS
Chicago
Tuna, A. 2019. “A NEW GENERALIZATION OF OSTROWSKI TYPE INEQUALITIES ON ARBITRARY TIME SCALE”. TWMS Journal of Applied and Engineering Mathematics 9 (2): 172-85. https://izlik.org/JA97BK52DS.
EndNote
Tuna A (June 1, 2019) A NEW GENERALIZATION OF OSTROWSKI TYPE INEQUALITIES ON ARBITRARY TIME SCALE. TWMS Journal of Applied and Engineering Mathematics 9 2 172–185.
IEEE
[1]A. Tuna, “A NEW GENERALIZATION OF OSTROWSKI TYPE INEQUALITIES ON ARBITRARY TIME SCALE”, JAEM, vol. 9, no. 2, pp. 172–185, June 2019, [Online]. Available: https://izlik.org/JA97BK52DS
ISNAD
Tuna, A. “A NEW GENERALIZATION OF OSTROWSKI TYPE INEQUALITIES ON ARBITRARY TIME SCALE”. TWMS Journal of Applied and Engineering Mathematics 9/2 (June 1, 2019): 172-185. https://izlik.org/JA97BK52DS.
JAMA
1.Tuna A. A NEW GENERALIZATION OF OSTROWSKI TYPE INEQUALITIES ON ARBITRARY TIME SCALE. JAEM. 2019;9:172–185.
MLA
Tuna, A. “A NEW GENERALIZATION OF OSTROWSKI TYPE INEQUALITIES ON ARBITRARY TIME SCALE”. TWMS Journal of Applied and Engineering Mathematics, vol. 9, no. 2, June 2019, pp. 172-85, https://izlik.org/JA97BK52DS.
Vancouver
1.A. Tuna. A NEW GENERALIZATION OF OSTROWSKI TYPE INEQUALITIES ON ARBITRARY TIME SCALE. JAEM [Internet]. 2019 Jun. 1;9(2):172-85. Available from: https://izlik.org/JA97BK52DS