
The author studies weighted four-dimensional matrix summability methods. These methods are related to generalized difference operators involving the \((p,q)\)-gamma function in modular function spaces. Some inclusion relations between the newly proposed summability methods are given. Further, a Korovkin-type approximation result for functions of two variables in modular spaces is proven.
four-dimensional matrix summability, modularly weighted \(A\)-statistical convergence, Matrix methods for summability, bivariate \((p, q)\)-Bernstein-Kantorovich operators, Approximation by positive operators, statistically modularly \(\widetilde{\mathcal{N}}_A\)-summability, Korovkin-type approximation theorem for functions of two variables in modular spaces, Inclusion and equivalence theorems in summability theory
four-dimensional matrix summability, modularly weighted \(A\)-statistical convergence, Matrix methods for summability, bivariate \((p, q)\)-Bernstein-Kantorovich operators, Approximation by positive operators, statistically modularly \(\widetilde{\mathcal{N}}_A\)-summability, Korovkin-type approximation theorem for functions of two variables in modular spaces, Inclusion and equivalence theorems in summability theory
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