New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals

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Gazi University Journal of Science
Volume: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 DEMİR, Selahattin MADEN

Pages : 1311-1324

Doi:10.35378/gujs.934699

View : 286 | Download : 228

Publication Date : 2023-09-01

Article Type : Research Paper

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

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