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Some results on $\left( \lambda ,\mu \right) $-statistical convergence of sequences in gradual $n$-normed linear spaces

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초록

We introduce the idea of gradually $\left( \lambda ,\mu \right) $-statistical convergence with regards to the $n$-norm in gradual $n$-normed linear space (GN$n$LS) in this study. We look at certain inclusion relations with regards to the $n$-norm between the sets of gradually statistically convergent and gradually $\left( \lambda ,\mu \right) $-statistically convergent double sequences. We discover its relationship to gradually strongly Cesaro summability, gradually strongly $\left( V,\lambda ,\mu \right) $-summability, and gradually statistical convergence with regards to the $n$-norm in GN$n$LS.

Abstract

We introduce the idea of gradually $\left( \lambda ,\mu \right) $-statistical convergence with regards to the $n$-norm in gradual $n$-normed linear space (GN$n$LS) in this study. We look at certain inclusion relations with regards to the $n$-norm between the sets of gradually statistically convergent and gradually $\left( \lambda ,\mu \right) $-statistically convergent double sequences. We discover its relationship to gradually strongly Cesaro summability, gradually strongly $\left( V,\lambda ,\mu \right) $-summability, and gradually statistical convergence with regards to the $n$-norm in GN$n$LS.

참고문헌 (44)

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