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Muhammad Muawwaz, Muhammad Maaz and Ather Qayyum, Ostrowski’s type inequalities by using the modified 2-step linear kernel, Eur. J. Math. Appl. 4 (2024), Article ID 6.

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Volume 4 (2024), Article ID 6

https://doi.org/10.28919/ejma.2024.4.6

Published: 25/03/2024

Abstract:

In this scholarly paper, we introduce an extension Ostrowski’s Inequalities through the modified derived mathematical identity. Our work focuses on the new results for $\acute{y}^{\prime }\in L_{1}, \acute{y}^{\prime }\in L_{2}$ and $\acute{y}^{\prime \prime }\in L_{2}.$ To achive this, we employ our methodology such as Gr\”{u}ss inequality, Diaz-Metcalf inequality and Cauchy inequality. To achive the core of our finding, we use a modified 2-step linear kernel and also discussed some modified results. Lastly, we demonstrate the practical applications of our findings in the context of Cumulative Distributive Functions.

How to Cite:

Muhammad Muawwaz, Muhammad Maaz and Ather Qayyum, Ostrowski’s type inequalities by using the modified 2-step linear kernel, Eur. J. Math. Appl. 4 (2024), Article ID 6. https://doi.org/10.28919/ejma.2024.4.6