Cesaro sequence space defined by the l-fractional difference operator using sequence of Modulus functions

Key Points

• The cesàro sequence space demonstrates unique properties derived from the l-fractional difference operator, expanding mathematical theory.
• Key evidence shows that this approach enhances understanding of convergence in sequence spaces, with implications for advanced mathematical analysis.
• Analysis presents innovative methods for defining sequence spaces based on the l-fractional difference operator, offering new insights into their structure.
• Highlights the potential for these definitions to lead to further research in mathematical concepts, suggesting broader applications in analysis.