Monotonicity of sequence of the best approximating constants for the function $$$\sqrt{t}$$$

O.V. Chernytska (Oles Honchar Dnipropetrovsk National University)

Abstract


It is proved that the sequence of the constants of the best approximation of function $$$\sqrt{t}$$$ is monotone decreasing.

Keywords


space; constant of best approximation; convex function

References


Korneichuk N.P. Exact constants in approximation theory, Nauka, Moscow, 1987; 424 p. (in Russian)

Chernytska O.V. "Behaviour of constants of the best approximation for convex functions", Res. Math., 2006; 11: pp. 110-114. (in Russian)

Ganenko Yu.V., Chernytska O.V. "Monotonicity of the best approximating constants for power functions", Proc. Conf. “Math. Problems of Tech. Mech.”, Dniprodzerzhinsk-Dnipropetrovsk, 2010; p. 252. (in Ukrainian)




DOI: https://doi.org/10.15421/241119

  

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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