BibTex RIS Kaynak Göster

ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS

Yıl 2017, Cilt: 66 Sayı: 2, 53 - 61, 01.08.2017
https://doi.org/10.1501/Commua1_0000000800

Öz

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

Kaynakça

  • 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
Yıl 2017, Cilt: 66 Sayı: 2, 53 - 61, 01.08.2017
https://doi.org/10.1501/Commua1_0000000800

Öz

Kaynakça

  • 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
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Hüseyin Budak Bu kişi benim

Mehmet Zeki Sarıkaya Bu kişi benim

Yayımlanma Tarihi 1 Ağustos 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 66 Sayı: 2

Kaynak Göster

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. Ağustos 2017;66(2):53-61. doi:10.1501/Commua1_0000000800
Chicago Budak, Hüseyin, ve Mehmet Zeki Sarıkaya. “ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66, sy. 2 (Ağustos 2017): 53-61. https://doi.org/10.1501/Commua1_0000000800.
EndNote Budak H, Sarıkaya MZ (01 Ağustos 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 ve M. Z. Sarıkaya, “ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 66, sy. 2, ss. 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 (Ağustos 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 ve Mehmet Zeki Sarıkaya. “ON WEIGHTED GRÜSS TYPE INEQUALITIES FOR DOUBLE INTEGRALS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 66, sy. 2, 2017, ss. 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.

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