Construction of New Ostrowski’s Type Inequalities By Using Multistep Linear Kernel

Year 2023, Volume: 44 Issue: 3, 522 - 530, 29.09.2023

Yasır Qayyum Haider Ali Faiz Rasool Ather Qayyum

https://doi.org/10.17776/csj.1145020

Abstract

In this paper, we construct a generalisation of Ostrowski’s type inequalities with the help of new identity. By using this identity, we construct further results for ģ^'∈L^1 [c ̇,d ̆ ],ģ^'∈L^2 [c ̇,d ̆ ],ģ^''∈L^2 [c ̇,d ̆ ]. To prove our main and related results, we utilized some famous inequalities such as Gruss-inequality, Diaz-Mıtcaf’s inequality and Cauchy’s inequality. To prove our main results, we used a new multistep kernel (9-step linear kernel). Some related results are also discussed. In the end, we apply our results to numerical integration also.

Keywords

Ostrowski inequalities, Numerical integration, Linear Kernel

Supporting Institution

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Project Number

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Thanks

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References

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