On error bounds for Gauss-Legendre and Lobatto quadrature rules.
On functions of bounded (p,2)-variation.
On generalized symmetric means and Stirling numbers of the second kind
On Hadamard type inequalities for generalized weighted quasi-arithmetic means.
On l'Hospital-type rules for monotonicity.
On Lipschitz midconvex multifunctions
On Locally Subadditive Functions
On logarithmic convexity for differences of power means.
On logarithmic convexity for power sums and related results.
On logarithmic convexity for power sums and related results. II.
On majorization, favard and Berwald inequalities.
On quadrature rules, inequalities and error bounds.
On single-valuedness of set-valued maps satisfying linear inclusions.
On some class of midconvex functions
On some curves in vector lattices.
On some inequalities for convex functions
On some polynomial-like inequalities of Brenner and Alzer.
On some properties of convex sequences
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 J-convex stochastic processes.