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J. Ferrera (1998)
Revista Matemática Complutense
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In this paper we give a characterization of uniform convergence on weakly compact sets, for sequences of homogeneous polynomials in terms of the Mosco convergence of their level sets. The result is partially extended for holomorphic functions. Finally we study the relationship with other convergences.
Ekrem Savaş, Fatih Nuray (1993)
Mathematica Slovaca
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Bhardwaj, Vinod K., Bala, Indu (2007)
International Journal of Mathematics and Mathematical Sciences
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Gunawan, Hendra (2002)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Fatih Nuray (2011)
Mathematica Bohemica
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The aim of this work is to generalize lacunary statistical convergence to weak lacunary statistical convergence and -convergence to weak -convergence. We start by defining weak lacunary statistically convergent and weak lacunary Cauchy sequence. We find a connection between weak lacunary statistical convergence and weak statistical convergence.