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.
Kaynak
TWMS Journal of Applied and Engineering MathematicsCilt
11Sayı
1Bağlantı
https://hdl.handle.net/11729/3063http://jaem.isikun.edu.tr/web/index.php/archive/110-vol11-no1/676
Koleksiyonlar
Aşağıdaki lisans dosyası bu öğe ile ilişkilidir:
İlgili Öğeler
Başlık, yazar, küratör ve konuya göre gösterilen ilgili öğeler.
-
On generalization of some integral inequalities for multiplicatively p-functions
Kadakal, Huriye (Işık University Press, 2020)In this paper, by using Hölder-İşcan, Hölder and power-mean integral inequality and an general identity for differentiable functions we can obtain new estimates on generalization of Hadamard, Ostrowski and Simpson type ... -
New refinements and integral inequalities for concave functions
Özdemir, Muhamet Emin; Akdemir, Ahmet Ocak (Işık University Press, 2019)In this paper, we establish new refinements and integral inequalities including concave functions. The reason why we choose the concave functions in this study is that the methods we use are applicable to these functions. ... -
Integral inequalities via log m-convex functions
Noor, Muhammad Aslam; Noor, Khalida Inayat; Safdar, Farhat (Işık University Press, 2020)In this paper, we introduce and investigate a new concept of log m-convex functions. We establish some new Hermite-Hadamard type integral inequalities via log m-convex functions. Our results represent refinement and ...