On generalized K-functionals in Lp for 0 < p < 1

被引：0
|
作者：
Kolomoitsev, Yurii [1 ]
Lomako, Tetiana [1 ]
机构：
[1] Gottingen Univ, Inst Numer & Appl Math, Lotzestr 16-18, D-37083 Gottingen, Germany
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2023年 / 26卷 / 03期
关键词：
K-functional; L-p with 0 < p < 1; Fractional derivatives; Homogeneous multipliers; Quadrature formula; DERIVATIVES;
D O I：
10.1007/s13540-023-00160-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the Peetre K-functional between the space L-p with 0 < p < 1 and the corresponding smooth function space W-p(?) generated by the Weyl-type differential operator ? (D), where ? is a homogeneous function of any positive order, is identically zero. The proof of the main results is based on the properties of the de la Vallee Poussin kernels and the quadrature formulas for trigonometric polynomials and entire functions of exponential type.
引用
收藏
页码：1016 / 1030
页数：15
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