Research Article

Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities

Volume: 7 Number: 3 December 30, 2022
EN

Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities

Abstract

In the present paper, new classes of convexity, namely, exponentially $m-$ and$(\alpha,m)-$convex functions on the co-ordinates are defined. Then, some new integral inequalities are proved by using some classical inequalities and properties of exponentially $m-$ ad $(\alpha,m)-$convex functions on the co-ordinates.

Keywords

References

  1. Dragomir, S.S. (2001). On Hadamard’s inequality for convex functions on the co-ordinates in a rectangle from the plane, Taiwanese Journal of Math., 5, 775-788. Dragomir, S.S. and Toader, G. (1993). Some inequalities for m−convex functions, Studia University Babes Bolyai, Mathematica, 38 (1), 21-28. Mihes¸an, V.G. (1993). A generalization of the convexity, Seminar of Functional Equations, Approx. and Convex, Cluj-Napoca (Romania) (1993).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

December 30, 2022

Submission Date

December 30, 2022

Acceptance Date

December 30, 2022

Published in Issue

Year 2022 Volume: 7 Number: 3

APA
Aslan, S., Akdemir, A. O., & Dokuyucu, M. A. (2022). Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities. Turkish Journal of Science, 7(3), 231-244. https://izlik.org/JA82BE74KN
AMA
1.Aslan S, Akdemir AO, Dokuyucu MA. Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities. TJOS. 2022;7(3):231-244. https://izlik.org/JA82BE74KN
Chicago
Aslan, Sinan, Ahmet Ocak Akdemir, and Mustafa Ali Dokuyucu. 2022. “Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities”. Turkish Journal of Science 7 (3): 231-44. https://izlik.org/JA82BE74KN.
EndNote
Aslan S, Akdemir AO, Dokuyucu MA (December 1, 2022) Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities. Turkish Journal of Science 7 3 231–244.
IEEE
[1]S. Aslan, A. O. Akdemir, and M. A. Dokuyucu, “Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities”, TJOS, vol. 7, no. 3, pp. 231–244, Dec. 2022, [Online]. Available: https://izlik.org/JA82BE74KN
ISNAD
Aslan, Sinan - Akdemir, Ahmet Ocak - Dokuyucu, Mustafa Ali. “Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities”. Turkish Journal of Science 7/3 (December 1, 2022): 231-244. https://izlik.org/JA82BE74KN.
JAMA
1.Aslan S, Akdemir AO, Dokuyucu MA. Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities. TJOS. 2022;7:231–244.
MLA
Aslan, Sinan, et al. “Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities”. Turkish Journal of Science, vol. 7, no. 3, Dec. 2022, pp. 231-44, https://izlik.org/JA82BE74KN.
Vancouver
1.Sinan Aslan, Ahmet Ocak Akdemir, Mustafa Ali Dokuyucu. Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities. TJOS [Internet]. 2022 Dec. 1;7(3):231-44. Available from: https://izlik.org/JA82BE74KN