Strongly Lacunary Ideal Convergence of Sequences of Functions

OpenAlex · English

In the present paper, we introduce the notions of strongly lacunary convergence, strongly lacunary ‐convergence, and strongly lacunary ‐convergence for sequences of functions, while analyzing the interrelations among these established concepts. Furthermore, we formulate the definitions of strongly lacunary ‐Cauchy and strongly lacunary ‐Cauchy sequences of functions. Subsequently, we examine the mutual relationships existing between strongly lacunary ‐convergence, strongly lacunary ‐Cauchy sequences, and strongly lacunary ‐Cauchy sequences within this framework.