ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS

Volume: 66 Number: 2 August 1, 2017
  • Hüseyin Budak
  • Mehmet Zeki Sarıkaya
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Cover
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
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ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS

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

Keywords

References

  1. 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.
  2. 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
  3. D. S. Mitrinovic, J. E. Pecaric and A. M. Fink, Inequalities involving functions and their integrals and derivatives, Kluwer Academic Publishers, Dordrecht, 1991.
  4. 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.
  5. J. E. Pecaric and B. Tebes, On Grüss type inequalities Dragomir and Fedotov, J. Inequal. Pure and Appl. Math. 4(5), Art 91, 2003.
  6. M. Z. Sarikaya, N. Aktan, H. Yıldırım, Weighted µCebyšev-Grüss type inequalities on time scales, J. Math. Inequal. 2, 2 (2008), 185–195.
  7. M. Z. Sarikaya, A Note on Grüss type inequalities on time scales, Dynamic Systems and Applications, 17 (2008), 663-666.
  8. M. Z. Sarikaya and M. E. Kiris, On µCebysev-Grüss type inequalities for double integrals, TJMM, 7(2015), No.1, 75-83.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Hüseyin Budak This is me

Mehmet Zeki Sarıkaya This is me

Publication Date

August 1, 2017

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2017 Volume: 66 Number: 2

DOI

https://doi.org/10.1501/Commua1_0000000800

IZ

https://izlik.org/JA62JC88SU

Cite

RIS / Bibtex
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
1.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. doi:10.1501/Commua1_0000000800
Chicago
Budak, Hüseyin, and Mehmet Zeki Sarıkaya. 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.
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
[1]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, Aug. 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 1, 2017): 53-61. https://doi.org/10.1501/Commua1_0000000800.
JAMA
1.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, Aug. 2017, pp. 53-61, doi:10.1501/Commua1_0000000800.
Vancouver
1.Hüseyin Budak, Mehmet Zeki Sarıkaya. ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017 Aug. 1;66(2):53-61. doi:10.1501/Commua1_0000000800

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