FRACTIONAL ORDER WEAK CONVERGENCE IN TRIPLE SEQUENCE SPACES

Source abstract

This paper introduces the notion of fractional order weak convergence in triple sequence spaces using the fractional difference operator . The spaces , , , and are defined and their basic properties are investigated. Results concerning linearity, uniqueness of limits, weak boundedness, weak Cauchy sequences, and inclusion relations are established. Suitable examples are provided to illustrate the theory and the strictness of the inclusion relations.