On the Norms of Circulant and $r-$Circulant Matrices With the Hyperharmonic Fibonacci Numbers
Naim Tuglu, Can Kizilate\c{s}
TL;DR
This paper investigates the norms of circulant and r-circulant matrices constructed with harmonic Fibonacci and hyperharmonic Fibonacci numbers, deriving inequalities to understand their properties.
Contribution
It introduces new inequalities for matrix norms involving harmonic Fibonacci and hyperharmonic Fibonacci numbers, expanding the theoretical understanding of these matrices.
Findings
Derived inequalities for matrix norms involving harmonic Fibonacci numbers
Extended results to hyperharmonic Fibonacci numbers
Provided bounds for circulant and r-circulant matrices
Abstract
In this paper, we study norms of circulant and circulant matrices involving harmonic Fibonacci and hyperharmonic Fibonacci numbers. We obtain inequalities by using matrix norms.
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