Abstract
In this paper, we present an error analysis with the help of Ostrowski type inequalities for n-times differentiable mappings by using n-times peano kernel. A comparison is also presented which shows that obtained error bounds are better than the previous error bounds.
Highlights
Integral inequalities have many potential applications in many practical problems of the real world
We developed error bounds with the help of 5-step kernel
In fig. 1 & 2, we established a comparison between error bounds E1, E2 and E3 for odd and even number of intervals
Summary
Integral inequalities have many potential applications in many practical problems of the real world. We present an error analysis with the help of Ostrowski type inequalities for n-times differentiable mappings by using n-times peano kernel. A comparison is presented which shows that obtained error bounds are better than the previous error bounds. Theory of integral inequalities is rapidly growing with the help of some basic tools of functional analysis, topology and fixed point theory. To make new Ostrowski type inequalities, Peano kernel is the most important tool.
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