Abstract
For a loaded second-order differential operator on a finite interval of the real line, we estimate the equiconvergence rate of the spectral expansion of a function with the trigonometric Fourier series expansion of the same function both on an interior compact set and on the entire interval.
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References
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Original Russian Text © I.S. Lomov, V.V. Chernov, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 7, pp. 861–865.
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Lomov, I.S., Chernov, V.V. Study of spectral properties of a loaded second-order differential operator. Diff Equat 51, 857–861 (2015). https://doi.org/10.1134/S0012266115070046
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DOI: https://doi.org/10.1134/S0012266115070046