Geodesic
On stabilization of the Poisson integral and Tikhonov–Stieltjes means: two-sided estimate
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 496 (2021), pp. 40-43 Cet article a éte moissonné depuis la source Math-Net.Ru

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We establish two-sided estimates for the proximity, as $t\to\infty$, of the Poisson integral representing the solution of the Cauchy problem for the heat equation to modified Tikhonov–Stieltjes means of the initial function. Order-sharp two-sided estimates in some classes of initial functions are described.
Keywords: stabilization, heat equation, Cauchy problem. 
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V. N. Denisov. On stabilization of the Poisson integral and Tikhonov–Stieltjes means: two-sided estimate. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 496 (2021), pp. 40-43. http://geodesic.mathdoc.fr/item/DANMA_2021_496_a7/

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