On a class of sequences defined by using Riemann integral.
On a construction of majorizing measures on subsets of ℝⁿ with special metrics
We consider processes Xₜ with values in and “time” index t in a subset A of the unit cube. A natural condition of boundedness of increments is assumed. We give a full characterization of the domains A for which all such processes are a.e. continuous. We use the notion of Talagrand’s majorizing measure as well as geometrical Paszkiewicz-type characteristics of the set A. A majorizing measure is constructed.
On a Generalization of the Richardson Extrapolation Process.
On A Hypothesis Of D. Adamović Concerning Asymptotic Behaviour Of Some Complex Sequences
On a -analogue of Sándor's function.
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 Theorem of M. Vuilleumier
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 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
On an open problem of Bai-Ni Guo and Feng Qi.
On asymptotic behaviour of some sequences built of iterates
On certain iterative sequences
On Convergence Of Certain Sequences V
On Convergence of Transfinite Sequences
On convergence preserving transformations of infinite series