Series of Floor and Ceiling Function—Part I: Partial Summations

Series of Floor and Ceiling Function—Part I: Partial Summations

In this paper, we develop two new theorems relating to the series of floor and ceiling functions. We then use these two theorems to develop more than forty distinct novel results. Furthermore, we provide specific cases for the theorems and corollaries which show that our results constitute a general...

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Bibliographic Details
Main Authors: Dhairya Shah, Manoj Sahni, Ritu Sahni, Ernesto León-Castro, Maricruz Olazabal-Lugo
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Mathematics
Subjects:
ceiling function
floor function
Faulhaber’s formula
Fibonacci numbers
geometric series
partial summations
Online Access:https://www.mdpi.com/2227-7390/10/7/1178

Internet

https://www.mdpi.com/2227-7390/10/7/1178

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