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

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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. 
@article{DANMA_2021_496_a7,
     author = {V. N. Denisov},
     title = {On stabilization of the {Poisson} integral and {Tikhonov--Stieltjes} means: two-sided estimate},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {40--43},
     publisher = {mathdoc},
     volume = {496},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2021_496_a7/}
}
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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/