Publications
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| 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 |
2021
- Melkonian H, Takeuchi S. (2021) Remarkable properties of the sinc
p,q functions and related integrals. Issue 1, Journal of Mathematical Analysis and Applications, volume 499, no. 1, pages 124981-124981, DOI:10.1016/j.jmaa.2021.124981.
2020
- Melkonian H, Takeuchi S. (2020) Remarkable properties of the $\text{sinc}_{p, q}$ functions and related integrals, DOI:10.48550/arxiv.2005.00477.
2019
- Boulton L, Melkonian H. (2019) A multi-term basis criterion for families of dilated periodic functions, Zeitschrift fur Analysis und ihre Anwendung, volume 38, no. 1, pages 107-124, DOI:10.4171/ZAA/1630. [PDF]
2018
- Edmunds DE, Melkonian H. (2018) Behaviour of $L_{q}$ norms of the $\sinc_{p}$ function, DOI:10.48550/arxiv.1804.03490.
- Edmunds DE, Melkonian H. (2018) Behaviour of Lq norms of the sincp function, Proceedings of the American Mathematical Society, volume 147, no. 1, pages 229-238, DOI:10.1090/proc/14264.
- Melkonian H, Edmunds DE. (2018) Basis and regularity properties of $(p,q)$-trigonometric functions and the decay of $(p,q)$-Fourier coefficients, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 474, pages 1-16, DOI:10.1098/rspa.2017.0548.
2017
- Boulton L, Melkonian H. (2017) A multi-term basis criterion for families of dilated periodic functions, DOI:10.48550/arxiv.1708.08545.
2016
- Melkonian H, Boulton L. (2016) Generalised trigonometric functions: Basis and regularity properties, Journal of Mathematical Analysis and Applications, volume 444, pages 25-46, DOI:10.1016/j.jmaa.2016.06.024.
2015
- Boulton L, Melkonian H. (2015) Generalised cosine functions, basis and regularity properties, DOI:10.48550/arxiv.1511.01114.
