New Extension in Ostrowski s Type Inequalities by Using 13-Step Linear Kernel
Muhammad Maaz, Muhammad Muawwaz, Usman Ali, Muhammad Faiz, Emad Abdulrehman, Ather Qayyum
Source abstract
In this paper, we present an extantion of Ostrowski’s inequalities by using newly derived identity. With the help of this inequality, we build up new results for ´y'∈ L1, ý'∈ L2, and ý''∈ L2. For this purpose, our approach utilizing Gr¨uss inequality, Diaz-Metcalf inequality and Cauchy inequality. To prove our main findings, we use a new extended kernal (13-step linear kernel), we produce some new useful results. At the end, we apply our results to numerical integration and cumulative distribution function.
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