| Citation: |
Nimet Pancaroḡlu Akın. STRONGLY LACUNARY $\mathcal{I}_2$-CONVERGENCE OF DOUBLE SEQUENCES OF FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2026, 16(6): 2779-2790. doi: 10.11948/20250323
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STRONGLY LACUNARY $\mathcal{I}_2$-CONVERGENCE OF DOUBLE SEQUENCES OF FUNCTIONS
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Abstract
In this paper, firstly, we define the concepts of strongly lacunary convergence, strongly lacunary $\mathcal{I}$-convergence and strongly lacunary $\mathcal{I}^{\ast}$-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 $\mathcal{I}_2$-Cauchy sequence and and strongly lacunary $\mathcal{I}^{\ast}_2$-Cauchy sequence of functions, and also we investigate the relations among strongly lacunary $\mathcal{I}_2$-convergence, strongly lacunary $\mathcal{I}_2$-Cauchy sequence and strongly lacunary $\mathcal{I}^{\ast}_2$-Cauchy sequence.
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References
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Nimet Pancaroḡlu Akın. STRONGLY LACUNARY $\mathcal{I}_2$-CONVERGENCE OF DOUBLE SEQUENCES OF FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2026, 16(6): 2779-2790. doi: 10.11948/20250323
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