Lacunary statistical convergence sequences defined by D-Orlicz function

Key Points

• Lacunary statistical convergence sequences demonstrate unique characteristics through D-Orlicz functions and related definitions.
• Key properties include the D-module, D-balanced set, and D-convex set that enhance our understanding of sequence spaces.
• Analysis of these spaces provides insights into geometric and algebraic properties, supporting theoretical advancements in convergence.
• Exploring these properties may enable further research into convergence criteria, particularly in mathematical analysis contexts.