BibTex RIS Cite

ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS

Year 2017, Volume: 66 Issue: 2, 53 - 61, 01.08.2017
https://doi.org/10.1501/Commua1_0000000800

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
https://doi.org/10.1501/Commua1_0000000800

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

Hüseyin Budak This is me

Mehmet Zeki Sarıkaya This is me

Publication Date August 1, 2017
Published in Issue Year 2017 Volume: 66 Issue: 2

Cite

APA Budak, H., & Sarıkaya, M. Z. (2017). ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(2), 53-61. https://doi.org/10.1501/Commua1_0000000800
AMA Budak H, Sarıkaya MZ. ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2017;66(2):53-61. doi:10.1501/Commua1_0000000800
Chicago Budak, Hüseyin, and Mehmet Zeki Sarıkaya. “ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66, no. 2 (August 2017): 53-61. https://doi.org/10.1501/Commua1_0000000800.
EndNote Budak H, Sarıkaya MZ (August 1, 2017) ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 2 53–61.
IEEE H. Budak and M. Z. Sarıkaya, “ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 66, no. 2, pp. 53–61, 2017, doi: 10.1501/Commua1_0000000800.
ISNAD Budak, Hüseyin - Sarıkaya, Mehmet Zeki. “ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/2 (August 2017), 53-61. https://doi.org/10.1501/Commua1_0000000800.
JAMA Budak H, Sarıkaya MZ. ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:53–61.
MLA Budak, Hüseyin and Mehmet Zeki Sarıkaya. “ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 66, no. 2, 2017, pp. 53-61, doi:10.1501/Commua1_0000000800.
Vancouver Budak H, Sarıkaya MZ. ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(2):53-61.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.