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• W4220756615 abstract "We review the results on approximate properties of the Lagrange–Sturm–Liouville interpolation processes constructed from the eigenfunctions of the regular Sturm–Liouville problem with potential of bounded variation. We extract a class of continuous functions admitting uniform and pointwise approximation and obtain a number of uniform convergence criteria for these processes. We study the structure of the divergence sets for processes and stability of approximation of continuous functions. We consider generalizations of the Lagrange–Sturm–Liouville operators with improved approximate properties. In the case of a continuous potential and the third kind boundary conditions with eliminated Dirichlet type conditions, we estimate the error of approximation of continuous functions. We obtain some asymptotic formulas and present a solution to the inverse Sturm–Liouville problem, owing to which it is possible to restore the parameters of the Sturm–Liouville problem." @default.
• W4220756615 created "2022-04-03" @default.
• W4220756615 creator A5073966149 @default.
• W4220756615 date "2022-02-01" @default.
• W4220756615 modified "2023-10-16" @default.
• W4220756615 title "Lagrange–Sturm–Liouville Processes" @default.
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• W4220756615 doi "https://doi.org/10.1007/s10958-022-05762-7" @default.
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