Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals
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Authors
Wenjun Liu
- College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China.
Wangshu Wen
- College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China.
Jaekeun Park
- Department of Mathematics, Hanseo University, Chungnam-do, Seosan-si 356-706, Republic of Korea.
Abstract
Some inequalities of Hermite-Hadamard type for MT-convex functions via classical integrals and Riemann-
Liouville fractional integrals are introduced, respectively, and applications for special means are given. Some
error estimates for the trapezoidal formula are also obtained.
Share and Cite
ISRP Style
Wenjun Liu, Wangshu Wen, Jaekeun Park, Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 3, 766--777
AMA Style
Liu Wenjun, Wen Wangshu, Park Jaekeun, Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals. J. Nonlinear Sci. Appl. (2016); 9(3):766--777
Chicago/Turabian Style
Liu, Wenjun, Wen, Wangshu, Park, Jaekeun. "Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals." Journal of Nonlinear Sciences and Applications, 9, no. 3 (2016): 766--777
Keywords
- MT-convex function
- Hermite-Hadamard inequality
- Hölder inequality
- fractional integral
- trapezoidal formula.
MSC
References
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