Approximation of the Image of the Hilbert-Schmidt Integral Operator

Nesir Huseyin

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arXiv · 2104.14218

Approximation of the Image of the Hilbert-Schmidt Integral Operator

Nesir Huseyin

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Abstract

In this paper an approximation of the image of the closed ball of the space $L_p$ $(p>1)$ centered at the origin with radius $r$ under Hilbert-Schmidt integral operator $F(\cdot):L_p\rightarrow L_q$ $\displaystyle \left(\frac{1}{p}+\frac{1}{q}=1\right)$ is presented. An error estimation for given approximation is obtained.

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Nesir Huseyin. 2021-04-29. Approximation of the Image of the Hilbert-Schmidt Integral Operator. https://arxiv.org/abs/2104.14218

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