Vivas Cortez, Miguel, Hussain, Sabir, Latif, Muhammad Amer. (1401). Some new Hermite-Hadamard type inequalities for functions whose absolute value of the third derivative are MT-convex functions with applications. هنرهای کاربردی, 13(2), 549-562. doi: 10.22075/ijnaa.2021.22773.2415
Miguel Vivas Cortez; Sabir Hussain; Muhammad Amer Amer Latif. "Some new Hermite-Hadamard type inequalities for functions whose absolute value of the third derivative are MT-convex functions with applications". هنرهای کاربردی, 13, 2, 1401, 549-562. doi: 10.22075/ijnaa.2021.22773.2415
Vivas Cortez, Miguel, Hussain, Sabir, Latif, Muhammad Amer. (1401). 'Some new Hermite-Hadamard type inequalities for functions whose absolute value of the third derivative are MT-convex functions with applications', هنرهای کاربردی, 13(2), pp. 549-562. doi: 10.22075/ijnaa.2021.22773.2415
Vivas Cortez, Miguel, Hussain, Sabir, Latif, Muhammad Amer. Some new Hermite-Hadamard type inequalities for functions whose absolute value of the third derivative are MT-convex functions with applications. هنرهای کاربردی, 1401; 13(2): 549-562. doi: 10.22075/ijnaa.2021.22773.2415

Some new Hermite-Hadamard type inequalities for functions whose absolute value of the third derivative are MT-convex functions with applications

International Journal of Nonlinear Analysis and Applications
مقاله 49، دوره 13، شماره 2، مهر 2022، صفحه 549-562    اصل مقاله (484.18 K)
نوع مقاله: Review articles
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22773.2415
نویسندگان
Miguel Vivas Cortez* 1؛ Sabir Hussain2؛ Muhammad Amer Amer Latif3
1Escuela de Ciencias F´ısicas y Matem´aticas, Facultad de Ciencias Naturales y Exactas, Pontificia Universidad Cat´olica del Ecuador, Av. 12 de Octubre 1076, Apartado: 17-01-2184, Quito 170143, Ecuador
2Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan
3Department of Basic Sciences, King Faisal University, Hofuf 31982, Al-Hasa, Saudi Arabia
چکیده
This paper is concerned to establish new variants of the well-known Hermite-Hadamard (HH) inequality for 3-times differentiable functions. Under the utility of these identities, we establish some new inequalities for the class of functions whose absolute value of the third derivative are MT-convex. The results presented here would provide generalizations of those given in earlier works. Finally, we present applications of our findings for means of real numbers and applications for particular functions are pointed out.
کلیدواژه‌ها
Hermite-Hadamard inequality؛ MT-convex function؛ Holder inequality
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