On some class of midconvex functions
On some curves in vector lattices.
On some differential and integro-differential equations associated with Jaocobi's differential equation.
On some inequalities for convex functions
On some integral inequalities of block type
On some integral inequalities of Weyl type
On some iterated means arising in homogenization theory
We consider iteration of arithmetic and power means and discuss methods for determining their limit. These means appear naturally in connection with some problems in homogenization theory.
On some iteration semigroups
Let be a disjoint iteration semigroup of diffeomorphisms mapping a real open interval onto . It is proved that if has a dense orbit possesing a subset of the second category with the Baire property, then for some diffeomorphism of onto the set of all reals . The paper generalizes some results of J.A.Baker and G.Blanton [3].
On some Marcus problem concerning functions possessing the derivative at points of discontinuity only
On some new fractional integral inequalities.
On some new properties of the Cantor set
On some polynomial-like inequalities of Brenner and Alzer.
On some properties of convex sequences
On Some Properties of Functions of Generalized Variation.
On some properties of functions relative to the classes of certain factor spaces
On some properties of Hamel bases and their applications to Marczewski measurable functions
We introduce new properties of Hamel bases. We show that it is consistent with ZFC that such Hamel bases exist. Under the assumption that there exists a Hamel basis with one of these properties we construct a discontinuous and additive function that is Marczewski measurable. Moreover, we show that such a function can additionally have the intermediate value property (and even be an extendable function). Finally, we examine sums and limits of such functions.
On some properties of Hamel bases connected with the continuity of polynomial functions.
On some properties of J-convex stochastic processes.
On some properties of symmetric derivatives
On some properties of the Cantor set