- Universal Journal of Mathematics and Applications
- Vol: 3 Issue: 1
- Better Results for Trigonometrically Convex Functions via Hölder-İşcan and Improved Power-Mean Inequ...
Better Results for Trigonometrically Convex Functions via Hölder-İşcan and Improved Power-Mean Inequalities
Authors : Mahir Kadakal
Pages : 38-43
Doi:10.32323/ujma.571525
View : 12 | Download : 8
Publication Date : 2020-03-25
Article Type : Research
Abstract :In this paper, using Hölder-İşcan and improved power-mean integral inequalities and together with an integral identity, we obtain Hadamard type inequalities for functions whose second derivatives in absolute value at certain power are trigonometrically convex functions. In addition, we prove that our results give better approach than previous results.Keywords : Convex function, trigonometrically convex function, Hölder-İşcan integral inequality, improved power-mean integral inequality