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.
On integral forms of generalised Mathieu 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 Mercer's Theorem for (C, 2) - Means.
On modified asymptotic series involving confluent hypergeometric functions.
On parameter convergence and convergence in larger sense
On property in -spaces
On relations of coefficient conditions.
On Riemann's theorem about conditionally convergent series
On -statistically convergence and lacunary -statistically convergence
On sequences in vector lattices
In this paper we investigate conditions for a system of sequences of elements of a vector lattice; analogous conditions for systems of sequences of reals were studied by D. E. Peek.
On sequences not enjoying Schur’s property
Here we proved the existence of a closed vector space of sequences - any nonzero element of which does not comply with Schur’s property, that is, it is weakly convergent but not norm convergent. This allows us to find similar algebraic structures in some subsets of functions.
On some conditions for the almost everywhere convergence of a class of integrable functions
On some convergence tests for series and integrals