GENERALIZED WEIGHTED CEBYSEV AND OSTROWSKI TYPE INEQUALITIES FOR DOUBLE INTEGRALS

Volume: 7 Number: 2 December 1, 2017
  • H. Budak
  • M. Z. Sarıkaya
EN

GENERALIZED WEIGHTED CEBYSEV AND OSTROWSKI TYPE INEQUALITIES FOR DOUBLE INTEGRALS

Abstract

In this paper, we rstly establish generalized weighted Montgomery identity for double integrals. Then, some generalized weighted Cebysev and Ostrowski type inequalities for double integrals are given.

Keywords

References

  1. Ahmad,F., Barnett,N.S., and Dragomir,S.S., (2009), New weighted Ostrowski and ˇCebysev type in- equalities, Nonlinear Anal., 71(12), pp.1408-1412.
  2. Barnett,N.S. and Dragomir,S.S., (2001), An Ostrowski type inequality for double integrals and appli- cations for cubature formulae, Soochow J. Math., 27(1), pp.109-114.
  3. Boukerrioua,K. and Guezane-Lakoud,A., (2007), On generalization of ˇCebysev type inequalities, J.
  4. Inequal. Pure and Appl. Math., 8(2), Art 55. ˇCebysev,P.L., (1882), Sur les expressions approximatives des integrales definies par les autres prises entre les mˇ
  5. Cerone,P. and Dragomir,S.S., (2004), Ostrowski type inequalities for functions whose derivatives satisfy certain convexity assumptions, Demonstratio Math., 37(2), pp.299-308.
  6. Dragomir,S.S., Cerone,P., Barnett,N.S., and Roumeliotis,J., (2000), An inequality of the Ostrowski type for double integrals and applications for cubature formulae, Tamsui Oxf. J. Math. Sci. 16(1), pp.1-16.
  7. Guazene-Lakoud,A. and Aissaoui,F., (2011), New ˇCebysev type inequalities for double integrals, J. Math. Inequal, 5(4), pp.453-462.
  8. Guazene-Lakoud,A. and Aissaoui,F., (2012), New double integrals weighted ˇCebyˇsev type inequalities

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

H. Budak This is me

M. Z. Sarıkaya This is me

Publication Date

December 1, 2017

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2017 Volume: 7 Number: 2

APA
Budak, H., & Sarıkaya, M. Z. (2017). GENERALIZED WEIGHTED CEBYSEV AND OSTROWSKI TYPE INEQUALITIES FOR DOUBLE INTEGRALS. TWMS Journal of Applied and Engineering Mathematics, 7(2), 272-281. https://izlik.org/JA74TB87ZL
AMA
1.Budak H, Sarıkaya MZ. GENERALIZED WEIGHTED CEBYSEV AND OSTROWSKI TYPE INEQUALITIES FOR DOUBLE INTEGRALS. JAEM. 2017;7(2):272-281. https://izlik.org/JA74TB87ZL
Chicago
Budak, H., and M. Z. Sarıkaya. 2017. “GENERALIZED WEIGHTED CEBYSEV AND OSTROWSKI TYPE INEQUALITIES FOR DOUBLE INTEGRALS”. TWMS Journal of Applied and Engineering Mathematics 7 (2): 272-81. https://izlik.org/JA74TB87ZL.
EndNote
Budak H, Sarıkaya MZ (December 1, 2017) GENERALIZED WEIGHTED CEBYSEV AND OSTROWSKI TYPE INEQUALITIES FOR DOUBLE INTEGRALS. TWMS Journal of Applied and Engineering Mathematics 7 2 272–281.
IEEE
[1]H. Budak and M. Z. Sarıkaya, “GENERALIZED WEIGHTED CEBYSEV AND OSTROWSKI TYPE INEQUALITIES FOR DOUBLE INTEGRALS”, JAEM, vol. 7, no. 2, pp. 272–281, Dec. 2017, [Online]. Available: https://izlik.org/JA74TB87ZL
ISNAD
Budak, H. - Sarıkaya, M. Z. “GENERALIZED WEIGHTED CEBYSEV AND OSTROWSKI TYPE INEQUALITIES FOR DOUBLE INTEGRALS”. TWMS Journal of Applied and Engineering Mathematics 7/2 (December 1, 2017): 272-281. https://izlik.org/JA74TB87ZL.
JAMA
1.Budak H, Sarıkaya MZ. GENERALIZED WEIGHTED CEBYSEV AND OSTROWSKI TYPE INEQUALITIES FOR DOUBLE INTEGRALS. JAEM. 2017;7:272–281.
MLA
Budak, H., and M. Z. Sarıkaya. “GENERALIZED WEIGHTED CEBYSEV AND OSTROWSKI TYPE INEQUALITIES FOR DOUBLE INTEGRALS”. TWMS Journal of Applied and Engineering Mathematics, vol. 7, no. 2, Dec. 2017, pp. 272-81, https://izlik.org/JA74TB87ZL.
Vancouver
1.H. Budak, M. Z. Sarıkaya. GENERALIZED WEIGHTED CEBYSEV AND OSTROWSKI TYPE INEQUALITIES FOR DOUBLE INTEGRALS. JAEM [Internet]. 2017 Dec. 1;7(2):272-81. Available from: https://izlik.org/JA74TB87ZL