On Jordan type inequalities for hyperbolic functions.
On jumping functions by connected sets
On Kantorovich's result on the symmetry of Dini derivatives
For , let be the set of points at which is Lipschitz from the left but not from the right. L.V. Kantorovich (1932) proved that, if is continuous, then is a “()-reducible set”. The proofs of L. Zajíček (1981) and B.S. Thomson (1985) give that is a -strongly right porous set for an arbitrary . We discuss connections between these two results. The main motivation for the present note was the observation that Kantorovich’s result implies the existence of a -strongly right porous set ...
On Kemperman's inequality 2f(x)≤ f(x+h)+f(x+2h)
On Köpcke and Pompeiu functions
On Kurzweil-Henstock equiintegrable sequences
For the Kurzweil-Henstock integral the equiintegrability of a pointwise convergent sequence of integrable functions implies the integrability of the limit function and the relation m abfm(s)s = abm fm(s)s. Conditions for the equiintegrability of a sequence of functions pointwise convergent to an integrable function are presented. These conditions are given in terms of convergence of some sequences of integrals.
On Kurzweil-Stieltjes equiintegrability and generalized BV functions
We present sufficient conditions ensuring Kurzweil-Stieltjes equiintegrability in the case when integrators belong to the class of functions of generalized bounded variation.
On Kurzweil-Stieltjes integral in a Banach space
In the paper we deal with the Kurzweil-Stieltjes integration of functions having values in a Banach space We extend results obtained by Štefan Schwabik and complete the theory so that it will be well applicable to prove results on the continuous dependence of solutions to generalized linear differential equations in a Banach space. By Schwabik, the integral exists if has a bounded semi-variation on and is regulated on We prove that this integral has sense also if is regulated on ...
On Ky Fan's inequality.
On -differentiability and difference properties of functions
On Lakshmikantham's comparison method for Gronwall inequalities
On lambda-approximations for analytic functions on the unit disc
On Landau type inequalities for functions with Hölder continuous derivatives.
On Lebesgue measurability of Henstock-Kurzweil integrable functions.
On level sets of approximate derivative and approximate symmetric derivative
On level sets of Darboux functions
On l'Hospital-type rules for monotonicity.
On limit numbers of real functions
On Lipschitz midconvex multifunctions
On Lipschitz Selections of Multifunctions with Decomposable Values
Some conditions for existence of Lipschitz selections of multifunctions with decomposable values are given.