O bodech obratu
O jednoduchém stanovení určitého integrálu omezeného
O některých integrálech omezených
O výuce základů analýzy
Obecná poučka o funkcích
Odhad prosté hodnoty integrálů a kriteria pro konvergenci nevlastních integrálů
On a generalization of smooth and symmetric functions
On the differentiability of certain saltus functions
We investigate several natural questions on the differentiability of certain strictly increasing singular functions. Furthermore, motivated by the observation that for each famous singular function f investigated in the past, f’(ξ) = 0 if f’(ξ) exists and is finite, we show how, for example, an increasing real function g can be constructed so that for all rational numbers x and g’(x) = 0 for almost all irrational numbers x.
On the order of linear dependence of real functions
On uniqueness of conjugacy of continuous and piecewise monotone functions.