Norm and almost everywhere convergence of matrix transform means of Walsh-Fourier series
We show the uniformly boundedness of the L1 norm of general matrix transform kernel functions with respect to the Walsh-Paley system. Special such matrix means are the well-known Cesàro, Riesz, Bohner-Riesz means. Under some conditions, we verify that the kernels KnT=∑k=1ntk,nDk{\rm{K}}_{\rm{n}}^{\r...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Scientia Publishing House
2023-12-01
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| Series: | Acta Universitatis Sapientiae: Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/ausm-2023-0013 |