On Nikol'skii-Type Inequalities with New Characteristics

被引：10

作者：

Mamedkhanov, Dzh I. ^{[1
]}

机构：

[1] Baku State Univ, AZ-1148 Baku, Azerbaijan

来源：

DOKLADY MATHEMATICS | 2010年 / 82卷 / 03期

关键词：

Nauk SSSR; Complex Plane; Entire Function; DOKLADY Mathematic; Uniform Approximation;

D O I：

10.1134/S1064562410060116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Niko'skii-type inequalities with new characteristics are studied. These inequalities are referred to as inequalities between different norms of the same function from a certain space. These inequalities are obtained on curves in the complex plane in terms of the following basic characteristics. The results show that the inequalities cannot be obtained in classes of curves larger than a certain class. Any rectifiable Jordan curve depending on nonzero measurable function that is almost everywhere finite is also considered.

引用

页码：882 / 883

页数：2

共 39 条

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