Research Article

Hermite-Hadamard-Fejér inequalities for double integrals

Volume: 70 Number: 1 June 30, 2021
EN

Hermite-Hadamard-Fejér inequalities for double integrals

Abstract

In this paper, we first obtain Hermite-Hadamard-Fejer inequalities for co-ordinated convex functions in a rectangle from the plane R2. Moreover, we give the some refinement of these obtained Hermite-Hadamard-Fejer inequalities utilizing two mapping. The inequalities obtained in this study provide generalizations of some result given in earlier works.

Keywords

References

  1. M. Alomari and M. Darus: The Hadamards inequality for s-convex function of 2-variables on the coordinates. Int. J. Math. Anal. 2(13), 629-638 (2008).
  2. M. Alomari and M. Darus, Fejér inequality for double integrals, Facta Universitatis (NIS), Ser. Math. Inform. 24 (2009), 15-28.
  3. T. Ali, M. A. Khan, A. Kilicman and Q. Din, On the refined Hermite-Hadamard inequalities, Mathematical Sciences & Applications E-Notes, 6 (1) 85-92 (2018).
  4. A.G. Azpeitia, Convex functions and the Hadamard inequality, Rev. Colombiana Math., 28 (1994), 7-12.
  5. M. K. Bakula, An improvement of the Hermite-Hadamard inequality for functions convex on the coordinates, Australian Journal of Mathematical Analysis and Applications, 11(1) (2014), 1-7.
  6. F. Chen, A note on the Hermite-Hadamard inequality for convex functions on the co-ordinates, J. Math. Inequal., 8(4), (2014), 915-923.
  7. S.S. Dragomir, On Hadamards inequality for convex functions on the co-ordinates in a rectangle from the plane. Taiwan. J. Math. 4, 775–788 (2001).
  8. S. S. Dragomir and C. E. M. Pearce, Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University, 2000.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2021

Submission Date

June 4, 2020

Acceptance Date

October 9, 2020

Published in Issue

Year 2021 Volume: 70 Number: 1

APA
Budak, H., & Sarıkaya, M. Z. (2021). Hermite-Hadamard-Fejér inequalities for double integrals. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 70(1), 100-116. https://doi.org/10.31801/cfsuasmas.748013
AMA
1.Budak H, Sarıkaya MZ. Hermite-Hadamard-Fejér inequalities for double integrals. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70(1):100-116. doi:10.31801/cfsuasmas.748013
Chicago
Budak, Hüseyin, and Mehmet Zeki Sarıkaya. 2021. “Hermite-Hadamard-Fejér Inequalities for Double Integrals”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 (1): 100-116. https://doi.org/10.31801/cfsuasmas.748013.
EndNote
Budak H, Sarıkaya MZ (June 1, 2021) Hermite-Hadamard-Fejér inequalities for double integrals. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 1 100–116.
IEEE
[1]H. Budak and M. Z. Sarıkaya, “Hermite-Hadamard-Fejér inequalities for double integrals”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 70, no. 1, pp. 100–116, June 2021, doi: 10.31801/cfsuasmas.748013.
ISNAD
Budak, Hüseyin - Sarıkaya, Mehmet Zeki. “Hermite-Hadamard-Fejér Inequalities for Double Integrals”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70/1 (June 1, 2021): 100-116. https://doi.org/10.31801/cfsuasmas.748013.
JAMA
1.Budak H, Sarıkaya MZ. Hermite-Hadamard-Fejér inequalities for double integrals. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70:100–116.
MLA
Budak, Hüseyin, and Mehmet Zeki Sarıkaya. “Hermite-Hadamard-Fejér Inequalities for Double Integrals”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 70, no. 1, June 2021, pp. 100-16, doi:10.31801/cfsuasmas.748013.
Vancouver
1.Hüseyin Budak, Mehmet Zeki Sarıkaya. Hermite-Hadamard-Fejér inequalities for double integrals. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021 Jun. 1;70(1):100-16. doi:10.31801/cfsuasmas.748013

Cited By

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

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