Uniform Approximation of Function \(g\in L[0,\infty )\) -Space Using \(E^q.T\) -Means of its Fourier–Laguerre Series

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发表日期：

2025年

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Shailesh Kumar Srivastava,
Sachin Devaiya,
Lakshmi Narayan Mishra

摘要

This study determines the error of approximation of function g belonging to the \(L\left[ 0,\infty \right) \) -class by the \(E^q.T\) -means of its Fourier–Laguerre series for any \({y}>0\) , and further discusses certain special cases of \(E^q.T\) -means.

This study determines the error of approximation of function g belonging to the \(L\left[ 0,\infty \right) \) -class by the \(E^q.T\) -means of its Fourier–Laguerre series for any \({y}&gt;0\) , and further discusses certain special cases of \(E^q.T\) -means.

Uniform Approximation of Function \(g\in L[0,\infty )\) -Space Using \(E^q.T\) -Means of its Fourier–Laguerre Series

摘要

This study determines the error of approximation of function g belonging to the \(L\left[ 0,\infty \right) \) -class by the \(E^q.T\) -means of its Fourier–Laguerre series for any \({y}>0\) , and further discusses certain special cases of \(E^q.T\) -means.