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On some new quasi almost ∆m-lacunary strongly P-convergent double sequences defined by Orlicz functions

Khan V. A., Tabassum S.

Journal of Mathematics and Applications

2011

Vol. 34

45--52

The idea of quasi almost P-convergent sequences defined as [...] was introduced by V.A.Khan and Q.M.D.Lohani [Mathematicki Vesnik, (60), 95-100 (2008)]. In this paper we introduce a new concept for quasi almost ∆m-lacunary strongly P-convergent double sequences defined by Orlicz function and give inclusion relations.

On a new sequence space related to the Orlicz sequence space

Khan V. A.

Journal of Mathematics and Applications

2008

Vol. 30

61-69

The space m(Φ) was introduced by sargent[14]and further studied by Malkowsky and Mursaleen [8] and Mursaleen [9]. In this paper we extend this space to m(M, Φ, p) and study some of its properties, inclusions relations and its relation with the Orlicz sequence space l(sub M).