- Gazi University Journal of Science
- Vol: 36 Issue: 3
- New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals
New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals
Authors : Şenol Demir, Selahattin Maden
Pages : 1311-1324
Doi:10.35378/gujs.934699
View : 253 | Download : 219
Publication Date : 2023-09-01
Article Type : Research Article
Abstract :In the paper, we introduce the class of trigonometrically convex functions and using the Hölder, Hölder-Işcan, Power-mean and Improved power-mean integral inequality together with an identity we establish some new inequalities of Ostrowski-type for functions whose second derivatives are trigonometrically convex which is a special case of h-convex functions. Some applications for special means are also given.Keywords : Ostrowski inequality, Hölder-İşcan, Improved power-mean, Convex trigometrically