Research Article

Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities

Volume: 38 Number: 4 December 8, 2017
Adnan Tuna
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Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities

Abstract

In this paper, we obtain some new weighted Ostrowski-Grüss type inequalities on time scales. We also give some other interesting inequalities as special cases.

2010 Mathematics Subject Classifications : 26D15; 26E70.

Keywords

Ostrowski-Grüss Type Inequalities,Time Scales,Montgomery Identitiy,Time Scales

References

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  3. [3]. Bohner M., Peterson A., Advances in dynamic equations on time scales, Birkhäuser Boston, Boston, MA, 2003.
  4. [4]. Bohner M., Matthews T., Ostrowski inequalities on time scales, JIPAM. J. Inequal. Pure Appl. Math., 2008; 9, Article 6, 8 pp.
  5. [5]. S.S. Dragomir and S. Wang, An inequality of Ostrowski-Grüss type and its applications to the estimation of error bounds for some special means and for some numarical quadrature rules, Comput. Math. Appl., 1997; 33 (11), pp. 16-20.
  6. [6]. Hilger S., Ein Maβkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten, Ph.D. thesis, Universität Würzburg, Würzburg, Germany, 1988.
  7. [7]. Lakshmikantham V., Sivasundaram S., Kaymakcalan B., Dynamic systems on measure chains, Mathematics and its Applications, 370, Kluwer Academic Publishers Group, Dordrecht, 1996.
  8. [8]. Liu W., Tuna A., Jiang Y., On weighted Ostrowski type, Trapezoid type, Grüss type and Ostrowski-Grüss like inequalities on time scales, Applicable Analysis, 2014; Volume 93, Issue 3, 551-571.
  9. [9]. Liu W., Tuna A., Jiang Y., New weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales, Annals of the Alexandru Ioan Cuza University--Mathematics, 2014; Volume LX, Issue 1, 57-76.
  10. [10]. Nwaeze E. R., A new weiğhted Ostrowski type inequality on arbitrary time scale, Journal of King Saud University-Science, 2017; volume 29, number 1, pp. 230-234.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

December 8, 2017

Submission Date

February 24, 2017

Acceptance Date

June 21, 2017

Published in Issue

Year 2017 Volume: 38 Number: 4

DOI

https://doi.org/10.17776/csj.349330

IZ

https://izlik.org/JA46BU55GD

Cite

RIS / Bibtex
APA
Tuna, A. (2017). Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities. Cumhuriyet Science Journal, 38(4), 626-638. https://doi.org/10.17776/csj.349330
AMA
1.Tuna A. Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities. CSJ. 2017;38(4):626-638. doi:10.17776/csj.349330
Chicago
Tuna, Adnan. 2017. “Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities”. Cumhuriyet Science Journal 38 (4): 626-38. https://doi.org/10.17776/csj.349330.
EndNote
Tuna A (December 1, 2017) Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities. Cumhuriyet Science Journal 38 4 626–638.
IEEE
[1]A. Tuna, “Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities”, CSJ, vol. 38, no. 4, pp. 626–638, Dec. 2017, doi: 10.17776/csj.349330.
ISNAD
Tuna, Adnan. “Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities”. Cumhuriyet Science Journal 38/4 (December 1, 2017): 626-638. https://doi.org/10.17776/csj.349330.
JAMA
1.Tuna A. Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities. CSJ. 2017;38:626–638.
MLA
Tuna, Adnan. “Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities”. Cumhuriyet Science Journal, vol. 38, no. 4, Dec. 2017, pp. 626-38, doi:10.17776/csj.349330.
Vancouver
1.Adnan Tuna. Some New Time Scales Weighted Ostrowski-Grüss Type Inequalities. CSJ. 2017 Dec. 1;38(4):626-38. doi:10.17776/csj.349330

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