Simpson Type Inequalities for Q-Class Functions

Subject Analysis
Title Simpson Type Inequalities for Q-Class Functions
Author(s) M. Emin Özdemir, Alper Ekinci, Mustafa Gürbüz, Ahmet Ocak Akdemir
Keywords Simpson inequality, Q-Class functions, power-mean inequality, Simpson's formulae
Abstract

In this paper, we obtain some Simpson type inequalities for functions whose second derivatives' absolute value or q-th power of them are Q-class functions. Also we give applications to numerical integration.

New Estimates on Integral Inequalities and Their Applications

Subject Analysis
Title New Estimates on Integral Inequalities and Their Applications
Author(s) M. Emin Özdemir, Mustafa Gürbüz, Mevlüt Tunç
Keywords Young inequality, hölder inequality, power-mean inequality.
Abstract

In this paper, we obtain some inequalities by using a kernel and an inequality which is a result of Young inequality. Besides we give some applications to special means.