4 papers · 1 filter
On Hölder continuity and -variation function of Weierstrass-type functions
Matyas Barczy, Peter Kern
We study Hölder continuity, -variation function and Riesz variation of Weierstrass-type functions along the sequence of -adic partitions, where is an integ…
Jensen convex functions and doubly stochastic matrices
Matyas Barczy, Zsolt Páles
Given an nxn doubly stochastic matrix P satisfying an appropriate condition of linear algebraic-type, and a function f defined on a nonempty interval, we show that the validity of…
A convexity-type functional inequality with infinite convex combinations
Matyas Barczy, Zsolt Páles
Given a function defined on a nonempty and convex subset of the -dimensional Euclidean space, we prove that if is bounded from below and it satisfies a convexity-type fu…
A series of definite integrals involving upper incomplete Gamma functions
Matyas Barczy, István MezÅ
Using probability theory we derive an expression for the sum of a series of definite integrals involving upper incomplete Gamma functions. In the proof, a normal variance mixture d…