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

Year 2022, Volume: 7 Issue: 3, 231 - 244, 30.12.2022

Sinan Aslan , Ahmet Ocak Akdemir , Mustafa Ali Dokuyucu

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

coordinates exponentially convex functions Hölder inequality

References

  • 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).

Year 2022, Volume: 7 Issue: 3, 231 - 244, 30.12.2022

Sinan Aslan , Ahmet Ocak Akdemir , Mustafa Ali Dokuyucu

Abstract

Keywords

coordinates exponentially convex functions Hölder inequality

References

  • 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).
There are 1 citations in total.

Details

Primary Language English
Journal Section Volume VII Issue III
Authors

Sinan Aslan 0000-0001-5970-1926

Ahmet Ocak Akdemir 0000-0003-2466-0508

Mustafa Ali Dokuyucu 0000-0001-9331-8592

Publication Date December 30, 2022
Published in Issue Year 2022 Volume: 7 Issue: 3

Cite

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.
AMA Aslan S, Akdemir AO, Dokuyucu MA. Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities. TJOS. December 2022;7(3):231-244.
Chicago Aslan, Sinan, Ahmet Ocak Akdemir, and Mustafa Ali Dokuyucu. “Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities”. Turkish Journal of Science 7, no. 3 (December 2022): 231-44.
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 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, 2022.
ISNAD Aslan, Sinan et al. “Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities”. Turkish Journal of Science 7/3 (December2022), 231-244.
JAMA 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, 2022, pp. 231-44.
Vancouver Aslan S, Akdemir AO, Dokuyucu MA. Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities. TJOS. 2022;7(3):231-44.
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