Geodesic
Hermite-Hadamard type integral inequalities for geometric-arithmetically $(s,m)$ convex functions
Cheng, X.-Li. 1 ; Zuo, H.-W. 2 ; Hua, Z.-Q. 3
1 Department of Mathematics, Jilin Normal University, Siping, 136000, China
2 School of Mathematical Sciences, Capital Normal University, Beijing, 10048, China
3 College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, 028043, China
Journal of nonlinear sciences and its applications, Tome 15 (2022) no. 4, p. 253-266.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we introduce a definition of geometric-arithmetically $(s,m)$ convex function and give some new inequalities of Hermite-Hadamard type for the geometric-arithmetically $(s,m)$ convex function. Finally, we discuss applications of these inequalities to special means.
DOI : 10.22436/jnsa.015.04.01
Classification : 26D15, 26A51
Keywords: Integral inequality, Hermite-Hadamard type integral inequality, geometric-arithmetically \((s,m)\) convex function, Holder inequality

Cheng, X.-Li.  1 ; Zuo, H.-W.  2 ; Hua, Z.-Q.  3

1 Department of Mathematics, Jilin Normal University, Siping, 136000, China
2 School of Mathematical Sciences, Capital Normal University, Beijing, 10048, China
3 College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, 028043, China 
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Cheng, X.-Li. ; Zuo, H.-W. ; Hua, Z.-Q. . Hermite-Hadamard type integral inequalities for geometric-arithmetically \((s,m)\) convex functions. Journal of nonlinear sciences and its applications, Tome 15 (2022) no. 4, p. 253-266. doi : 10.22436/jnsa.015.04.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.015.04.01/

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