Some new generalized Ostrowski type inequalities with new error bounds

Junaid Amjad; Ather Qayyum; Shah Fahad; Muhammad Arslan

doi:10.55059/ijm.2022.1.2/23

Authors

Junaid Amjad
Ather Qayyum Institute of Southern Punjab Multan https://orcid.org/0000-0003-4149-5305
Shah Fahad
Muhammad Arslan

DOI:

https://doi.org/10.55059/ijm.2022.1.2/23

Keywords:

Ostrowski inequality, Kernel and Numerical Integration.

Abstract

In this paper, we will ameliorate and generalize Ostrowski type inequality for twice differentiable mappings in various Lebesgue spaces. Some famous inequalities can be derived as a special cases of the inequalities obtained here. Furthermore, perturbed mid-point inequality and perturbed trapezoid inequality are also obtained. The obtained inequalities have very rapid applications in numerical integrations and some special means.

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