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Lacunary strong Ap-convergence with respect to a modulus

Bilgin T.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2001

[Z] 41

51-57

The definition of lacunary strong A-convergence with respect to a modulus is extended to a definition of lacunary strong Ap-convergence with respect to a modulus when p = (p_i) is a real sequence with positive terms. We study some connections between lacunary strong Ap-convergence with respect to a modulus and lacunary A-statistical convergence.