Ideal $\left( \lambda ,\mu \right) -$Statistical Convergence of order $\alpha $ with respect to seminorm $q$

Abstract

In this paper, we introduce a new convergence concept of Ideal $\left(
\lambda ,\mu \right) $ -Statistical Convergence of order $\alpha $ with
respect to seminorm $q$. Our main objective is to improve and generalize
several existing results related to sequence spaces. Furthermore, we
establish detailed inclusion relations among the newly defined sequence
spaces and the existing ones. Finally, a fruitful open problem is presented
for future research.