On lacunary generalized difference sequence spaces defined by Orlicz functions in a seminormed space and delta m/q-lacunary statistical convergence

• Autorzy: Bhardwaj V. , Bala I.
• Języki publikacji: EN

Abstrakty

EN

The main purpose of this paper is to introduce a new concept of [...]-lacunary statistical convergence. It is shown that if a sequence is [...]-lacunary strongly summable with index p with respect to an Orlicz function M then it is A [...]-lacunary statistically convergent and that the concepts of [...]-lacunary strong summability with index p with respect to an Orlicz function M and [...]-lacunary statistical convergence are equivalent on [...]-bounded sequences. The composite space no [...] using composite Orlicz function Mv has also been introduced. It is also shown that if q is total, then every [...] method is consistent with the W[...] method. Our results generalize and unify the corresponding earlier results of Freedman et al. [5], Tripathy et al. [17, 18, 19] and, Bhardwaj and Singh [1].

Słowa kluczowe

EN

difference sequence space; Orlicz function; statistical convergence; lacunary sequence

PL

ciąg różnic skończonych; funkcja Orlicza; zbieżność statystyczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 2
• Strony: 415--424
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Bhardwaj V.

autor

Bala I.

• Department of Mathematics Kurukshetra University Kurukshetra-136 119, India,

Bibliografia

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