**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

^{a}Department 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)

**Full Text:** PDF

**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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