Year 2017,
Volume: 66 Issue: 2, 53 - 61, 01.08.2017
Abstract
In this study, we obtain some new weighted inequalities of Grüss type for functions of two independent variables. Special cases of the results presented here reduce the results given in earlier works
References
- P. L. µCebyšev, Sur less expressions approximatives des integrales de…nies par les autres prises entre les memes limites, Proc. Math. Soc. Charkov, 2, 93-98, 1882.
- S. S. Dragomir , Some integral inequalities of Grüss type, Indian J. Pure Appl. Math., 31(4), 415, April 2000. G. Grüss, Über das maximum des absoluten Betrages von Rf (x)g(x)dx ba a (ba) f (x)dx b g(x)dx;Math. Z., 39, 215-226, 1935. a
- D. S. Mitrinovic, J. E. Pecaric and A. M. Fink, Inequalities involving functions and their integrals and derivatives, Kluwer Academic Publishers, Dordrecht, 1991.
- B. G. Pachpatte, On µCebyšev-Grüss type inequalities via Pecaric’s extention of the Mont- gomery identity, J. Inequal. Pure and Appl. Math. 7(1), Art 108, 2006.
- J. E. Pecaric and B. Tebes, On Grüss type inequalities Dragomir and Fedotov, J. Inequal. Pure and Appl. Math. 4(5), Art 91, 2003.
- M. Z. Sarikaya, N. Aktan, H. Yıldırım, Weighted µCebyšev-Grüss type inequalities on time scales, J. Math. Inequal. 2, 2 (2008), 185–195.
- M. Z. Sarikaya, A Note on Grüss type inequalities on time scales, Dynamic Systems and Applications, 17 (2008), 663-666.
- M. Z. Sarikaya and M. E. Kiris, On µCebysev-Grüss type inequalities for double integrals, TJMM, 7(2015), No.1, 75-83.
- Current address : H. Budak: Düzce University, Faculty of Science and Arts, Department of Mathematics, Konuralp Campus, Düzce, Turkey. E-mail address : hsyn.budak@gmail.com Current address : M. Z. Sarıkaya: Düzce University, Faculty of Science and Arts, Department of Mathematics, Konuralp Campus, Düzce, Turkey. E-mail address : sarikayamz@gmail.com
Year 2017,
Volume: 66 Issue: 2, 53 - 61, 01.08.2017
Abstract
References
- P. L. µCebyšev, Sur less expressions approximatives des integrales de…nies par les autres prises entre les memes limites, Proc. Math. Soc. Charkov, 2, 93-98, 1882.
- S. S. Dragomir , Some integral inequalities of Grüss type, Indian J. Pure Appl. Math., 31(4), 415, April 2000. G. Grüss, Über das maximum des absoluten Betrages von Rf (x)g(x)dx ba a (ba) f (x)dx b g(x)dx;Math. Z., 39, 215-226, 1935. a
- D. S. Mitrinovic, J. E. Pecaric and A. M. Fink, Inequalities involving functions and their integrals and derivatives, Kluwer Academic Publishers, Dordrecht, 1991.
- B. G. Pachpatte, On µCebyšev-Grüss type inequalities via Pecaric’s extention of the Mont- gomery identity, J. Inequal. Pure and Appl. Math. 7(1), Art 108, 2006.
- J. E. Pecaric and B. Tebes, On Grüss type inequalities Dragomir and Fedotov, J. Inequal. Pure and Appl. Math. 4(5), Art 91, 2003.
- M. Z. Sarikaya, N. Aktan, H. Yıldırım, Weighted µCebyšev-Grüss type inequalities on time scales, J. Math. Inequal. 2, 2 (2008), 185–195.
- M. Z. Sarikaya, A Note on Grüss type inequalities on time scales, Dynamic Systems and Applications, 17 (2008), 663-666.
- M. Z. Sarikaya and M. E. Kiris, On µCebysev-Grüss type inequalities for double integrals, TJMM, 7(2015), No.1, 75-83.
- Current address : H. Budak: Düzce University, Faculty of Science and Arts, Department of Mathematics, Konuralp Campus, Düzce, Turkey. E-mail address : hsyn.budak@gmail.com Current address : M. Z. Sarıkaya: Düzce University, Faculty of Science and Arts, Department of Mathematics, Konuralp Campus, Düzce, Turkey. E-mail address : sarikayamz@gmail.com
There are 9 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Research Articles |
| Authors | |
| Publication Date | August 1, 2017 |
| Published in Issue | Year 2017 Volume: 66 Issue: 2 |
Cite
Cited By
Grüss Type Integral Inequalities For Generalized $\eta -$ Conformable Fractional Integrals
Turkish Journal of Mathematics and Computer Science
https://doi.org/10.47000/tjmcs.816174
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
