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Convergence and Integrability of Series with Monotone Decreasing Coefficients by Chrestenson-Levy Systems


Affiliations
1 State Engineering University of Armenia, Yerevan, Teryan st.105, 375049, Armenia
     

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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.
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  • Convergence and Integrability of Series with Monotone Decreasing Coefficients by Chrestenson-Levy Systems

Abstract Views: 383  |  PDF Views: 1

Authors

S. A. Episkoposian
State Engineering University of Armenia, Yerevan, Teryan st.105, 375049, Armenia
T. M. Saghatelyan
State Engineering University of Armenia, Yerevan, Teryan st.105, 375049, Armenia

Abstract


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