Hermite-Hadamard type integral inequalities for geometric-arithmetically \((s,m)\) convex functions
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Authors
X.-Li. Cheng
- Department of Mathematics, Jilin Normal University, Siping, 136000, China.
H.-W. Zuo
- School of Mathematical Sciences, Capital Normal University, Beijing, 10048, China.
Z.-Q. Hua
- College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, 028043, China.
Abstract
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.
Share and Cite
ISRP Style
X.-Li. Cheng, H.-W. Zuo, Z.-Q. Hua, Hermite-Hadamard type integral inequalities for geometric-arithmetically \((s,m)\) convex functions, Journal of Nonlinear Sciences and Applications, 15 (2022), no. 4, 253--266
AMA Style
Cheng X.-Li., Zuo H.-W., Hua Z.-Q., Hermite-Hadamard type integral inequalities for geometric-arithmetically \((s,m)\) convex functions. J. Nonlinear Sci. Appl. (2022); 15(4):253--266
Chicago/Turabian Style
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 Applications, 15, no. 4 (2022): 253--266
Keywords
- Integral inequality
- Hermite-Hadamard type integral inequality
- geometric-arithmetically \((s,m)\) convex function
- Holder inequality
MSC
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