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Start Over Subject lacunary sequence

1. Lacunary strong $(A_\sigma, p)$-convergence

Creator:
Bilgin, Tnay
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
lacunary sequence, invariant convergence, and infinite matrix
Language:
English
Description:
The definition of lacunary strongly convergence is extended to the definition of lacunary strong $(A_{\sigma }, p)$-convergence with respect to invariant mean when $A$ is an infinite matrix and $p = (p_i)$ is a strictly positive sequence. We study some properties and inclusion relations.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Lacunary weak statistical convergence

Creator:
Nuray, Fatih
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
weak convergence, statistical convergence, lacunary sequence, and lacunary statistical convergence
Language:
English
Description:
The aim of this work is to generalize lacunary statistical convergence to weak lacunary statistical convergence and I-convergence to weak I-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.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public