Hermite-Hadamard type inequalities for quasi-convex functions via improved power-mean inequality
Künye
Kadakal, M. (2021). Hermite-Hadamard type inequalities for quasi-convex functions via improved power-mean inequality. TWMS Journal of Applied and Engineering Mathematics, 11(1), 194-202.Özet
In this paper, by using power-mean and improved power-mean integral inequality and an general identity for differentiable functions we can get new estimates on integral inequalities for functions whose derivatives in absolute value at certain power are quasi-convex functions. It is proved that the result obtained improved power-mean integral inequality is better than the result obtained power-mean inequality. Some applications to special means of real numbers are also given.
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http://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3063http://jaem.isikun.edu.tr/web/index.php/archive/110-vol11-no1/676
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