and -convergence in topological spaces
We extend the idea of -convergence and -convergence of sequences to a topological space and derive several basic properties of these concepts in the topological space.
Infinite matrices and absolute almost convergence.
Irrational rapidly convergent series
Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces.
Iterated series and the Hellinger-Toeplitz theorem.
We show that an iterated double series condition due to Antosik implies the uniform convergence of the double series. An application of Antosik's condition is given to the derivation of a vector form of the Hellinger-Toeplitz theorem.