نشریه علوم ریاضی و انفورماتیک

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S. Ibrahim I, Çolak R. On the Sets of Strongly f-Lacunary Summable Sequences. IJMSI 2025; 20 (2) :129-137
URL: http://ijmsi.ir/article-1-1948-fa.html

The statistical convergence with respect to a modulus function has various applications in both mathematics and statistics. The main purpose of this research paper is to establish the relations between the sets of strongly f-lacunary summable and strongly g-lacunary summable sequences, strongly f-lacunary summable and g-lacunary statistically convergent sequences, where f and g are different modulus functions under certain conditions. Furthermore, for some special modulus functions, we establish the relations between the sets of strongly f-lacunary summable and strongly lacunary summable sequences.