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

نویسندگان

چکیده

In this paper, we develop two new theorems relating to the series of floor and ceiling functions. We then use these more than forty distinct novel results. Furthermore, provide specific cases for corollaries which show that our results constitute a generalisation currently available such as summation first n Fibonacci numbers Pascal’s identity. Finally, three miscellaneous examples showcase vast scope developed theorems.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2022

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math10071178