On Almost Orthogonal Series
Classical Analysis and ODEs
2023-01-03 v2
Abstract
In this work we prove analogues of Bessel inequality and Riesz-Fisher theorem in Hilbert spaces with respect to sequences. We apply our generalized Bessel inequality to the Hilbert spaces associated with the Normal, Beta, Gamma and certain discrete probability distributions to show how to generate certain type of inequalities for special functions systematically.
Keywords
Cite
@article{arxiv.2212.06831,
title = {On Almost Orthogonal Series},
author = {Ruiming Zhang},
journal= {arXiv preprint arXiv:2212.06831},
year = {2023}
}
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