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

Yıl 2022, Cilt: 7 Sayı: 3, 231 - 244, 30.12.2022

Öz

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.

Kaynakça

  • 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).
Yıl 2022, Cilt: 7 Sayı: 3, 231 - 244, 30.12.2022

Öz

Kaynakça

  • 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).
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Volume VII Issue III
Yazarlar

Sinan Aslan 0000-0001-5970-1926

Ahmet Ocak Akdemir 0000-0003-2466-0508

Mustafa Ali Dokuyucu 0000-0001-9331-8592

Yayımlanma Tarihi 30 Aralık 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 7 Sayı: 3

Kaynak Göster

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. Aralık 2022;7(3):231-244.
Chicago Aslan, Sinan, Ahmet Ocak Akdemir, ve Mustafa Ali Dokuyucu. “Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities”. Turkish Journal of Science 7, sy. 3 (Aralık 2022): 231-44.
EndNote Aslan S, Akdemir AO, Dokuyucu MA (01 Aralık 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, ve M. A. Dokuyucu, “Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities”, TJOS, c. 7, sy. 3, ss. 231–244, 2022.
ISNAD Aslan, Sinan vd. “Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities”. Turkish Journal of Science 7/3 (Aralık 2022), 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 vd. “Exponentially $m-$ and $(\alpha,m)-$Convex Functions on the Coordinates and Related Inequalities”. Turkish Journal of Science, c. 7, sy. 3, 2022, ss. 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.