The infinite sums of reciprocals and the partial sums of Chebyshev polynomials

In this paper, the infinite sums of reciprocals and the partial sums derived from Chebyshev polynomials are studied. For the infinite sums of reciprocals, we apply the floor function to the reciprocals of these sums to obtain some new and interesting identities involving the Chebyshev polynomials. S...

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Bibliographic Details

Published in:	AIMS Mathematics
Main Authors:	Fan Yang, Yang Li
Format:	Article
Language:	English
Published:	AIMS Press 2022-01-01
Subjects:	chebyshev polynomials reciprocal inequality floor function
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.2022023?viewType=HTML