Introduces new sequence spaces generated by q-analogue, detailing their properties and geometric characteristics.
This paper introduces the sequence spaces ?_p ( ?_q ) and ?_? ( ?_q ) for q ? (0, 1), generated by an infinite matrix ?_q derived from the q-Euler totient function φ_q . We establish key properties of φ_q and comprehensively analyze the new sequence spaces, detailing their Schauder bases, ?-, ?-, and ?-duals, matrix class characterizations, and geometric properties.
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Yaying et al. (2026) studied this question.
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