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

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Authors

  • S. A. Episkoposian
     Faculty of Applied Mathematics, State Engineering University of Armenia, Yerevan, Teryan st.105, 375049 ,AM
  • T. M. Saghatelyan
     Faculty of Applied Mathematics , State Engineering University of Armenia, Yerevan, Teryan st.105, 375049 ,AM

DOI:

https://doi.org/10.18311/jims/2017/14850

Keywords:

Chrestenson - Levy Systems, Monotonic Coeffcients, Convergence, Integrability

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.

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Published

2017-07-01

How to Cite

Episkoposian, S. A., & Saghatelyan, T. M. (2017). Convergence and Integrability of Series with Monotone Decreasing Coefficients by Chrestenson - Levy Systems. The Journal of the Indian Mathematical Society, 84(3-4), 182–190. https://doi.org/10.18311/jims/2017/14850

Issue

Volume 84, Issue 3-4, July-December 2017

Section

Articles

License

Copyright (c) 2017 S. A. Episkoposian, T. M. Saghatelyan

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2017-02-03
Accepted 2017-02-15
Published 2017-07-01

 

References

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