The definition of lacunary strong convergence is extended to a definition of lacunary strong convergence with respect to a sequence of modulus functions in a Banach space. We study some connections between lacunary statistical convergence and lacunary strong convergence with respect to a sequence of modulus functions in a Banach space.
@article{118733, author = {Serpil Pehlivan and Brian Fisher}, title = {Lacunary strong convergence with respect to a sequence of modulus functions}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {36}, year = {1995}, pages = {69-76}, zbl = {0821.40001}, mrnumber = {1334415}, language = {en}, url = {http://dml.mathdoc.fr/item/118733} }
Pehlivan, Serpil; Fisher, Brian. Lacunary strong convergence with respect to a sequence of modulus functions. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 69-76. http://gdmltest.u-ga.fr/item/118733/
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