Research Article

New Integral Inequalities for Co-Ordinated Convex Functions

Volume: 2 Number: 1 January 29, 2021
EN

New Integral Inequalities for Co-Ordinated Convex Functions

Abstract

In this paper, we prove some new integral inequalities for co-ordinated convex functions by using a new lemma and fairly elementary analysis.

Keywords

References

  1. [1] Bakula M.K., Peˇcari´c J., On the Jensen's inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese Journal of Mathematics, 10 (5), 1271-1292, 2006.
  2. [2] Özdemir M.E., Set E., Sarıkaya M.Z., Some new Hadamard's type inequalities for co-ordinated m−convex and (alfa,m)−convex functions, Hacettepe Journal of Mathematics and Statistics, 40, 219- 229, 2011.
  3. [3] Özdemir M.E., Latif M.A., Akdemir A.O., On some Hadamard-type inequalities for product of two s−convex functions on the co-ordinates, Journal of Inequalities and Applications, 21, 2012.
  4. [4] Set E., Sarıkaya M.Z., Akdemir A.O., A new general inequality for double integrals, American Institu of Phsyics (AIP) Conference Proceedings, 1470, 122-125, 2012.
  5. [5] Alomari M., Darus M., Hadamard-type inequalities for s−convex functions, International Mathematical Forum, 40(3), 1965-1975, 2008.
  6. [6] Özdemir M.E., A.O. Akdemir, On the hadamard type inequalities involving product of two convex functions on the co-ordinates, Tamkang Journal of Mathematics, 46(2), 129-142, 2015.
  7. [7] Akdemir A.O., Özdemir M.E., Some Hadamard-type inequalities for co-ordinated P−convex functions and Godunova-Levin functions, American Institu of Phsyics (AIP) Conference Proceedings, 1309, 7- 15, 2010.
  8. [8] Özdemir M.E., Latif M.A., Akdemir A.O., On some Hadamard-type inequalities for product of two h−convex functions on the co-ordinates, Turkish Journal of Science, 1(1), 48-58, 2016.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

January 29, 2021

Submission Date

December 19, 2020

Acceptance Date

January 27, 2021

Published in Issue

Year 2021 Volume: 2 Number: 1

APA
Özdemir, M. E., Akdemir, A. O., & Ekinci, A. (2021). New Integral Inequalities for Co-Ordinated Convex Functions. Fundamentals of Contemporary Mathematical Sciences, 2(1), 52-69. https://izlik.org/JA88MF62MS
AMA
1.Özdemir ME, Akdemir AO, Ekinci A. New Integral Inequalities for Co-Ordinated Convex Functions. FCMS. 2021;2(1):52-69. https://izlik.org/JA88MF62MS
Chicago
Özdemir, Muhamet Emin, Ahmet Ocak Akdemir, and Alper Ekinci. 2021. “New Integral Inequalities for Co-Ordinated Convex Functions”. Fundamentals of Contemporary Mathematical Sciences 2 (1): 52-69. https://izlik.org/JA88MF62MS.
EndNote
Özdemir ME, Akdemir AO, Ekinci A (January 1, 2021) New Integral Inequalities for Co-Ordinated Convex Functions. Fundamentals of Contemporary Mathematical Sciences 2 1 52–69.
IEEE
[1]M. E. Özdemir, A. O. Akdemir, and A. Ekinci, “New Integral Inequalities for Co-Ordinated Convex Functions”, FCMS, vol. 2, no. 1, pp. 52–69, Jan. 2021, [Online]. Available: https://izlik.org/JA88MF62MS
ISNAD
Özdemir, Muhamet Emin - Akdemir, Ahmet Ocak - Ekinci, Alper. “New Integral Inequalities for Co-Ordinated Convex Functions”. Fundamentals of Contemporary Mathematical Sciences 2/1 (January 1, 2021): 52-69. https://izlik.org/JA88MF62MS.
JAMA
1.Özdemir ME, Akdemir AO, Ekinci A. New Integral Inequalities for Co-Ordinated Convex Functions. FCMS. 2021;2:52–69.
MLA
Özdemir, Muhamet Emin, et al. “New Integral Inequalities for Co-Ordinated Convex Functions”. Fundamentals of Contemporary Mathematical Sciences, vol. 2, no. 1, Jan. 2021, pp. 52-69, https://izlik.org/JA88MF62MS.
Vancouver
1.Muhamet Emin Özdemir, Ahmet Ocak Akdemir, Alper Ekinci. New Integral Inequalities for Co-Ordinated Convex Functions. FCMS [Internet]. 2021 Jan. 1;2(1):52-69. Available from: https://izlik.org/JA88MF62MS

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