On the New Generalized Hahn Sequence Space h d In this article, we define the new generalized Hahn sequence space h d p , where d = d k k = 1 ∞ is monotonically increasing sequence with d k ≠ 0 for all k ∈ ℕ , and 1 < p < ∞ . Then, we prove some topological properties and calculate the α − , β − , and γ − duals of h d p . Furthermore, we characterize the new matrix classes h d , λ , where λ = b v , b v p , b v ∞ , b s , c s , , and μ , h d , where μ = b v , b v 0 , b s , c s 0 , c s . In the last section, we prove the necessary and sufficient conditions of the matrix transformations from h d p into λ 求助全文 通过发布文献求助，成功后即可免费获取论文全文。 去求助 相关文献 来源期刊 Abstract and Applied Analysis 数学-数学 CiteScore 2.30 自引率 0.00% 发文量 36 审稿时长 3.5 months 期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. 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In this article, we define the new generalized Hahn sequence space $h_d^p$ , where $d={\left(d_k\right)}_{k=1}^{\infty }$ is monotonically increasing sequence with $d_k\ne 0$ for all $k\in \mathbb{N}$ , and $1<p<\infty$ . Then, we prove some topological properties and calculate the $\alpha -$ , $\beta -$ , and $\gamma -$ duals of $h_d^p$ . Furthermore, we characterize the new matrix classes $\left(h_d,\lambda \right)$ , where $\lambda =\left\{bv,b{v}_p,b{v}_{\infty },bs,cs,\right\}$ , and $\left(\mu ,h_d\right)$ , where $\mu =\left\{bv,b{v}_0,bs,c{s}_0,cs\right\}$ . In the last section, we prove the necessary and sufficient conditions of the matrix transformations from $h_d^p$ into $\lambda$