- 期刊
Generalized Vector Valued Sequence Spaces Defined by Orlicz Functions
並列摘要
In this paper we introduce the vector valued sequence spaces w0 (M, θ, △(superscript m), Q, p, u), w1 (M, θ, △(superscript m), Q, p, u), w(subscript ∞) (M, θ, △(superscript m), and S(subscript θ)(△(superscript m subscript uq)) using an Orlicz function, the generalized difference operator △(superscript m) and the multiplier sequence u=(u(subscript k)) of non-zero complex numbers. We give some relations related to these sequence spaces. It is also shown that if a sequence is strongly lacunary △(superscript m subscript uq)-Cesaro summable with respect to the Orlicz function M then it is △(superscript m subscript uq)-statistically convergent.
被引用紀錄
You, Y. P. (2007). 低功率嵌入式處理器之編譯器最佳化研究 [doctoral dissertation, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-1206200714114946
延伸閱讀
- Tripathy, B. C., & Borgohain, S. (2011). Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function. Advances in Fuzzy Systems, 2011(), 23-28. https://doi.org/10.1155/2011/216414
- Mursaleen, M., Sharma, S. K., & Kilicman, A. (2013). Sequence Spaces Defined by Musielak-Orlicz Function over n-Normed Spaces. Abstract and Applied Analysis, 2013(), 925-934-397. https://doi.org/10.1155/2013/364743
- Choi, J. G., Chung, H. S., & Chang, S. J. (2013). Sequential Generalized Transforms on Function Space. Abstract and Applied Analysis, 2013(), 43-54-704. https://doi.org/10.1155/2013/565832
- Bakery, A. A. (2013). Generalized Difference λ-Sequence Spaces Defined by Ideal Convergence and the Musielak-Orlicz Function. Abstract and Applied Analysis, 2013(), 224-236. https://doi.org/10.1155/2013/123798
- Bakery, A. A., Mohamed, E. A. E., & Ahmed, M. A. (2013). Some Generalized Difference Sequence Spaces Defined by Ideal Convergence and Musielak-Orlicz Function. Abstract and Applied Analysis, 2013(), 516-524-1351. https://doi.org/10.1155/2013/972363