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Episkoposian, S. A.
- A Representations of Functions from L1μ Class by Series with Monotonic Coefficients Concerning Haar Systems
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Affiliations
1 Faculty of Applied Mathematics, State Engeniering Univ. of Armenia, Yerevan, Teryan st.105, 375049, AM
2 Department of Physics, Yerevan State University, Yerevan, Al. Manoogian st.1, 375049, AM
1 Faculty of Applied Mathematics, State Engeniering Univ. of Armenia, Yerevan, Teryan st.105, 375049, AM
2 Department of Physics, Yerevan State University, Yerevan, Al. Manoogian st.1, 375049, AM
Source
The Journal of the Indian Mathematical Society, Vol 80, No 1-2 (2013), Pagination: 57-68Abstract
In this paper we consider the question of a representation of functions from weighed class L1μ by series with monotonic coefficients concerning Haar system.Keywords
Haar System, Weighted Spaces, Monotonic Coefficients.
- Convergence and Integrability of Series with Monotone Decreasing Coefficients by Chrestenson-Levy Systems
Abstract Views :317 |
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Authors
Affiliations
1 State Engineering University of Armenia, Yerevan, Teryan st.105, 375049, AM
1 State Engineering University of Armenia, Yerevan, Teryan st.105, 375049, AM
Source
The Journal of the Indian Mathematical Society, Vol 84, No 3-4 (2017), Pagination: 182-190Abstract
In this paper we consider problems of convergence and integrability of series with monotone decreasing coefficients by Chrestenson - Levy systems. In particular we generalize some results, known for classical Walsh systems. Interest in questions arises due to a rapidly developed greedy algorithm in recent years, where in particular the important role played a representation of functions by series with monotone coefficients.Keywords
Chrestenson-Levy Systems, Monotonic Coeffcients, Convergence, Integrability.References
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