Article ID: MTJPAM-D-21-00045

Title: On the bounds for the spectral norms of geometric circulant matrices with generalized Jacobsthal and Jacobsthal Lucas numbers


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-21-00045; Volume 4 / Issue 1 / Year 2022, Pages 107-119

Document Type: Research Paper

Author(s): Şükran Uygun a

aDepartment of Mathematics, Science and Art Faculty, Gaziantep University, Campus, 27310, Gaziantep, Turkey

Received: 23 June 2021, Accepted: 5 October 2021, Published: 24 December 2021.

Corresponding Author: Şükran Uygun (Email address: suygun@gantep.edu.tr)

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Abstract

The study is about the different norms of geometric circulant matrices with the sequences called (s, t)-Jacobsthal, (s, t)-Jacobsthal Lucas and hyperharmonic Jacobsthal numbers. In the paper we obtain the upper and lower bounds for the spectral norms of geometric circulant matrix with the (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas numbers and also with hyperharmonic Jacobsthal numbers.

Keywords: Jacobsthal numbers, Jacobsthal Lucas numbers, hyperharmonic numbers, geometric circulant matrix, norm

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