A study on an extension of Euler totient sequence spaces via q-analogue

Key Points

• The aim is to explore and define new sequence spaces based on the q-Euler totient function.
• Introduction of sequence spaces generated by an infinite matrix derived from the q-Euler totient function.
• Analysis of key properties related to the defined sequence spaces.
• Characterization of Schauder bases and duals for the new sequence spaces.
• Establishment of significant properties of the q-Euler totient function.
• Detailed analysis of geometric properties of the new sequence spaces.
• Characterizations of the matrix classes related to the defined spaces.