About the Optimal Replacement of the Lebesque Constant Fourier Operator by a Logarithmic Function

被引：7
作者：
Shakirov, I. A. [1 ]
机构：
[1] Naberezhnye Chelny State Pedag Univ, Ul Nizametdinova 28, Naberezhniye Chelny 423806, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2018年 / 39卷 / 06期
关键词：
Fourier operator; Lebesgue constant; asymptotic equality; the best approximation of a Lebesgue constant;
D O I：
10.1134/S1995080218060185
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Lebesgue constant, corresponding to the classical Fourier operator is approaching a two-parameter family of logarithmic functions. The optimal values of these parameters are found in which the best uniform approximation of the Lebesgue constant a well-defined function of this family is achieved. We considered the case when corresponding to these functions the remaining members are strictly decreasing.
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页码：841 / 846
页数：6
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