PreprintarXiv licencearXiv
Fejér-Rogosinski theorem for the Neil algebra
Abstract
Partial sums of the Taylor expansions of functions from the Neil algebra are uniformly bounded by their uniform norms on the ball of radius r centered at the origin, where r denotes the unique real root of 4x3 + x − 2 = 0. Moreover, this radius r is optimal.
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BibTeX
@misc{das2026fejérrogosinski,
title = {{Fejér-Rogosinski theorem for the Neil algebra}},
author = {Nilanjan Das and Jaydeb Sarkar},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.17114},
eprint = {2609.17114},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.17114},
}
RIS
TY - UNPB
TI - Fejér-Rogosinski theorem for the Neil algebra
AU - Nilanjan Das
AU - Jaydeb Sarkar
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.17114
UR - https://arxiv.org/abs/2609.17114
AB - Partial sums of the Taylor expansions of functions from the Neil algebra are uniformly bounded by their uniform norms on the ball of radius r centered at the origin, where r denotes the unique real root of 4x^3 + x − 2 = 0. Moreover, this radius r is optimal.
ER -