O křivkách maximální délky
O některých integrálech omezených
O některých integrálech omezených
O prvních spojitých singulárních funkcích
-regularly varying functions and some asymptotic relations.
O společném původu některých integrálů omezených
O výuce základů analýzy
Obecná poučka o funkcích
Obecná teorie derivování funkcí a měr na katedře matematické analýzy MFF UK
Odhad prosté hodnoty integrálů a kriteria pro konvergenci nevlastních integrálů
Old Friends Revisited; the Multifunctional Nature of Some Classical Functions.
On a certain condition of the monotonicity of functions
On a characterization of -norm
On A Characterization Of Trigonometrical And Hyperbolic Functions By Functional Equations
On a Class of Fractional Type Integral Equations in Variable Exponent Spaces
2000 Mathematics Subject Classification: 45A05, 45B05, 45E05,45P05, 46E30We obtain a criterion of Fredholmness and formula for the Fredholm index of a certain class of one-dimensional integral operators M with a weak singularity in the kernel, from the variable exponent Lebesgue space L^p(·) ([a, b], ?) to the Sobolev type space L^α,p(·) ([a, b], ?) of fractional smoothness. We also give formulas of closed form solutions ϕ ∈ L^p(·) of the 1st kind integral equation M0ϕ = f, known as the generalized...
On a class of sequences defined by using Riemann integral.
On a class of variational integrals over BV varieties
We present here our most recent results ([1def]) about the definition of non-linear Weiertrass-type integrals over BV varieties, possibly discontinuous and not necessarily Sobolev's.
On a Differential Equation with Left and Right Fractional Derivatives
Mathematics Subject Classification: 26A33; 70H03, 70H25, 70S05; 49S05We treat the fractional order differential equation that contains the left and right Riemann-Liouville fractional derivatives. Such equations arise as the Euler-Lagrange equation in variational principles with fractional derivatives. We reduce the problem to a Fredholm integral equation and construct a solution in the space of continuous functions. Two competing approaches in formulating differential equations of fractional order...
On a Functional Equation in Connection with Derivations.
On a functional equation related to a generalization of Flett's mean value theorem.