On -summability of orthogonal series
In the paper, we prove two theorems on summability, , of orthogonal series. Several known and new results are also deduced as corollaries of the main results.
On convergence fields of regular matrix transformations
On Dirichlet convolution method.
On general summability factor theorems.
On summability and absolute Nörlund summability
On linear methods of summations of a Fourier series
On matrix rapid filters
Galois-Tukey equivalence between matrix summability and absolute convergence of series is shown and an alternative characterization of rapid ultrafilters on ω is derived.
On -statistically convergence and lacunary -statistically convergence
On Sectionally Dense Summability Fields.
On some BK spaces.
On Some Classes Of Linear Function Transformations Of Sequences (II) (Inclusion Theorems)
On Some Classes Of Linear Function Transformations Of Sequences (I) (Inclusion Theorems)
On some classes of linear function transformations of sequences (III)
On some classes of linear function transformations of sequences (I). (Inclusion theorems).
On some consequences of a generalized continuity
In normed linear space settings, modifying the sequential definition of continuity of an operator by replacing the usual limit "" with arbitrary linear regular summability methods we consider the notion of a generalized continuity (-continuity) and examine some of its consequences in respect of usual continuity and linearity of the operators between two normed linear spaces.
On some difference sequence sets and their topological properties.
On some new type generalized difference sequence spaces
On some sequence spaces generated by - and -difference of infinite matrices.
On some topological properties of generalized difference sequence spaces.
On summations on locally compact spaces