Riemann Integrals of Powers of Metallic Ratios

Authors

  • R. Sivaraman

DOI:

https://doi.org/10.22377/ajms.v5i2.320

Abstract

Metallic ratios are important class of numbers in mathematics which were discussed extensively right from ancient times. In this paper, treating the expression for kth metallic ratio as a continuous function, I had found new results for determining Riemann integrals of such functions over compact intervals of the form [0, n] for any natural number n.

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Published

2021-08-27

Issue

Vol. 5 No. 2 (2021): Asian Journal of Mathematical Sciences

Section

Research Article

License

This is an Open Access article distributed under the terms of the Attribution-Noncommercial 4.0 International License [CC BY-NC 4.0], which requires that reusers give credit to the creator. It allows reusers to distribute, remix, adapt, and build upon the material in any medium or format, for noncommercial purposes only.