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Statistical convergence of integral operators generated by a single kernel

Authors :
Octavian Agratini
Source :
Nonlinear Analysis: Theory, Methods & Applications. 75:3465-3469
Publication Year :
2012
Publisher :
Elsevier BV, 2012.

Abstract

We introduce a class of double-complex integral linear operators. Some geometric properties are investigated and a statistical approximation theorem is obtained. In a particular case, our operators turn into the complex Picard operators.

Subjects

Subjects :
Constant coefficients
Applied Mathematics
Singular integral operators of convolution type
Mathematical analysis
Microlocal analysis
Hilbert space
Spectral theorem
Operator theory
Fourier integral operator
symbols.namesake
symbols
Applied mathematics
Operator norm
Analysis
Mathematics

Details

ISSN :
0362546X
Volume :
75
Database :
OpenAIRE
Journal :
Nonlinear Analysis: Theory, Methods & Applications
Accession number :
edsair.doi...........505c3626e68a631e9d9fee19472aed9b
Full Text :
https://doi.org/10.1016/j.na.2012.01.003
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