STATISTICAL BOUNDED SEQUENCES OF BI-COMPLEX NUMBERS
Suman K. Bera, B. Ch. Tripathy ยท Problemy analiza ยท 2023
In this paper, we extend statistical bounded sequences of real or complex numbers to the setting of sequences of bi-complex numbers.We define the statistical bounded sequence space of bicomplex numbers ๐ 8 and also define the statistical bounded sequence spaces of ideals I 1 8 and I 2 8 .We prove some inclusion relations and provide examples.We establish that ๐ 8 is the direct sum of I 1 8 and I 2 8 .Also, we prove the decomposition theorem for statistical bounded sequences of bi-complex numbers.Finally, summability properties in the light of J.A. Fridy's work are studied.