Abstract

The purpose of this paper is to establish weighted version of Ostrowski type integral inequalities. The inequalities are obtained by using a newly developed special type of five steps weighted kernel. The introduction of this new Kernel gives some new error bounds for various quadrature rules. Applications for Cumulative Distributive Functions are considered.

Highlights

  • The field of inequalities have applications in most of the domains of Mathematics

  • The importance of mathematical inequalities has increased during the past few decades and it is studied as a separate branch of Mathematics

  • A number of research papers and books have been written on inequalities and their applications

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Summary

Introduction

The field of inequalities have applications in most of the domains of Mathematics. The importance of mathematical inequalities has increased during the past few decades and it is studied as a separate branch of Mathematics. The purpose of this paper is to establish weighted version of Ostrowski type integral inequalities. The inequalities are obtained by using a newly developed special type of five steps weighted kernel.

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