The almost lacunary $\chi^{2}$ sequence spaces defined by modulus
N. Subramanian
Abstract
Open-access reader
N. Subramanian
Abstract
Open-access reader
In this paper we introduce a new concept for almost lacunary $\chi^{2}$ sequence spaces strong $P-$ convergent to zero with respect to an modulus function and examine some properties of the resulting sequence spaces. We also introduce and study statistical convergence of almost lacunary $\chi^{2}$ sequence spaces and also some inclusion theorems are discussed.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In this paper we introduce a new concept for almost lacunary $\chi^{2}$ sequence spaces strong $P-$ convergent to zero with respect to an modulus function and examine some properties of the resulting sequence spaces. We also introduce and study statistical convergence of almost lacunary $\chi^{2}$ sequence spaces and also some inclusion theorems are discussed.
Key concepts: Lacunary function, Modulo operation, Sequence (biology), Mathematics, Convergence (economics), Zero (linguistics), Limit of a sequence, Pure mathematics