New Extension in Ostrowski's Type Inequalities by Using 13-Step Linear Kernel
DOI:
https://doi.org/10.62298/advmath.4Keywords:
Ostrowski Inequality, Numerical Integration, 13-Step Linear KernelAbstract
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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Copyright (c) 2024 Muhammad Maaz, Muhammad Muawwaz, Usman Ali, Muhammad Faiz, Emad Abdulrehman, Ather Qayyum
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