An estimate for some positive linear operators in L p spaces

被引:0
作者
Bustamante J. [1 ]
机构
[1] Facultad de Ciencias Fisico-Matematicas, Benemerita Universidad Autonoma de Puebla, Pue. C.P. 72000
关键词
L [!sub]p[!/sub] spaces; Positive linear operators;
D O I
10.1007/s12215-011-0055-1
中图分类号
学科分类号
摘要
In this note we prove that an estimate due to Ivanov and Pichugov, for positive linear convolution operators in L p spaces, can be extended to a class of positive linear operators which are not of convolution type. © 2011 Springer-Verlag.
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页码:351 / 356
页数:5
相关论文
共 2 条
[1]  
Benedeck A., Panzone R., The spaces L <sub>p</sub> with mixed norm, Duke Math. J., 28, pp. 301-324, (1961)
[2]  
Ivanov V.I., Pichugov S.A., Approximation of periodic functions in L <sub>p</sub> by linear positive methods and multiple moduli of continuity, Math. Notes, 42, 6, pp. 925-930, (1987)