On a new absolute summability method.
On a -analogue of Sándor's function.
On a relation between two summability methods
On a representation theorem of Goes for null sequences.
On a series of cosecants related to a problem in ergodic theory
On a symmetric divergence measure and information inequalities.
On a Tauberian theorem for Euler summability.
On a Theorem of M. Vuilleumier
On a theorem of W. Meyer-König and H. Tietz.
On a typical property of functions
On a weak form of uniform convergence
The notion of -convergence of a sequence of functions is stronger than pointwise convergence and weaker than uniform convergence. It is inspired by the investigation of ill-posed problems done by A.N. Tichonov. We answer a question posed by M. Katětov around 1970 by showing that the only analytic metric spaces for which pointwise convergence of a sequence of continuous real valued functions to a (continuous) limit function on implies -convergence are -compact spaces. We show that the assumption...
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 Abel summability of multiple Jacobi series
On Abel-type methods of summability.
On absolute Cesàro summability.
On absolute Cesàro summability factors of infinite series
On absolute matrix summability methods.
On absolute summability factors for summability
In this paper a theorem on summability factors, which generalizes a theorem of Mishra and Srivastava [MS] on summability factors, has been proved.
On absolutely divergent series
We show that in the -stage countable support iteration of Mathias forcing over a model of CH the complete Boolean algebra generated by absolutely divergent series under eventual dominance is not isomorphic to the completion of P(ω)/fin. This complements Vojtáš’ result that under the two algebras are isomorphic [15].
On a.e. convergence of expansion with respect to a bounded orthonormal system of polygonals