On approximation of Baire functions by Darboux functions
On - associated comonotone functions
We give a positive answer to two open problems stated by Boczek and Kaluszka in their paper [1]. The first one deals with an algebraic characterization of comonotonicity. We show that the class of binary operations solving this problem contains any strictly monotone right-continuous operation. More precisely, the comonotonicity of functions is equivalent not only to -associatedness of functions (as proved by Boczek and Kaluszka), but also to their -associatedness with being an arbitrary strictly...
On belated differentiation and a characterization of Henstock-Kurzweil-Ito integrable processes
The Henstock-Kurzweil approach, also known as the generalized Riemann approach, has been successful in giving an alternative definition to the classical Itô integral. The Riemann approach is well-known for its directness in defining integrals. In this note we will prove the Fundamental Theorem for the Henstock-Kurzweil-Itô integral, thereby providing a characterization of Henstock-Kurzweil-Itô integrable stochastic processes in terms of their primitive processes.
On Borsík's problem concerning quasiuniform limits of Darboux quasicontinuous functions
On boundedness and discontinuity of additive functions
On bounds of the range of ordered variates II.
On Cauchy-Frullani Integrals
On certain formulas for the multivariable hypergeometric functions.
On certain inequalities improving the Hermite-Hadamard inequality.
On certain iterative sequences
On certain subclass of Bazilevič functions.
On characterization of the Lipschitzian composition operator between spaces of functions of bounded -variation
On Ciesielski's problems.
On classification of real singularities.
On cluster sets of arbitrary functions
On common fixed and periodic points of commuting functions.
On common fixed points, periodic points, and recurrent points of continuous functions.
On compositions and products of almost continuous functions
On conditions for the boundedness of the Weyl fractional integral on weighted spaces
In this paper we give a sufficient condition on the pair of weights for the boundedness of the Weyl fractional integral from into . Under some restrictions on and , this condition is also necessary. Besides, it allows us to show that for any there exist non-trivial weights such that is bounded from into itself, even in the case .
On connectivity points