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Some new generalized Ostrowski type inequalities with new error bounds

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Title: Some new generalized Ostrowski type inequalities with new error bounds

Authors: Junaid Amjad, Ather Qayyum, Shah Fahad, Muhammad Arslan

Journal: Innovative journal of mathematics

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Year: 2022

Volume: 1

Issue: 2

Language: en

DOI: 10.55059/ijm.2022.1.2/23

Keywords: Ostrowski inequalityKernel and Numerical Integration.

Categories
Error Bounds (2) Analysis (236) Numerical Integration (1) Mathematics (5170) Inequalities (60)

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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