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
On difference equations and discrete systems
On double statistical -convergence of fuzzy numbers.
On exponents of convergence of subsequences
On faster convergent infinite series.
On I-convergence of double sequences in the topology induced by random 2-norms
On ideal equal convergence
We consider ideal equal convergence of a sequence of functions. This is a generalization of equal convergence introduced by Császár and Laczkovich [Császár Á., Laczkovich M., Discrete and equal convergence, Studia Sci. Math. Hungar., 1975, 10(3–4), 463–472]. Our definition of ideal equal convergence encompasses two different kinds of ideal equal convergence introduced in [Das P., Dutta S., Pal S.K., On and *-equal convergence and an Egoroff-type theorem, Mat. Vesnik, 2014, 66(2), 165–177]_and [Filipów...
On integrability of functions defined by trigonometric series.