Defines and investigates strongly lacunary convergence concepts in functions' double sequences, indicating important relationships.
In this paper, firstly, we define the concepts of strongly lacunary convergence, strongly lacunary I-convergence and strongly lacunary I^-convergence of double sequence of functions, and also we investigate the relations between them. Then, we define the concepts of strongly lacunary Cauchy sequence, strongly lacunary I₂-Cauchy sequence and and strongly lacunary I^₂-Cauchy sequence of functions, and also we investigate the relations among strongly lacunary I₂-convergence, strongly lacunary I₂-Cauchy sequence and strongly lacunary I^₂-Cauchy sequence.
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Nimet Pancaroḡlu Akın (2026) studied this question.
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