O některých integrálech omezených
O společném původu některých integrálů omezených
On a class of sequences defined by using Riemann integral.
On a generalization of the Lebesgue integral in
On a modified sum integral of Stieltjes type
On a problem of R. C. Baker
On a useful economy in the formation of Riemann sums
On Cauchy-Frullani Integrals
On differentiability with respect to parameters of the Lebesgue integral.
On fractional integration.
On generalized variations (II)
On indefinite BV-integrals
We present an example of a locally BV-integrable function in the real line whose indefinite integral is not the sum of a locally absolutely continuous function and a function that is Lipschitz at all but countably many points.
On integrability in F-spaces
Some usual and unusual properties of the Riemann integral for functions x : [a,b] → X where X is an F-space are investigated. In particular, a continuous integrable -valued function (0 < p < 1) with non-differentiable integral function is constructed. For some class of quasi-Banach spaces X it is proved that the set of all X-valued functions with zero derivative is dense in the space of all continuous functions, and for any two continuous functions x and y there is a sequence of differentiable...
On integrability of functions defined by trigonometric series.
On integral forms of generalised Mathieu series.
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 the relation between Young's and Kurzweil's concept of Stieltjes integral
On the relationships between Stieltjes type integrals of Young, Dushnik and Kurzweil
In this paper we explain the relationship between Stieltjes type integrals of Young, Dushnik and Kurzweil for functions with values in Banach spaces. To this aim also several new convergence theorems will be stated and proved.
On the Ward Theorem for -adic-path bases associated with a bounded sequence
In this paper we prove that each differentiation basis associated with a -adic path system defined by a bounded sequence satisfies the Ward Theorem.
On variations of functions of one real variable
We discuss variations of functions that provide conceptually similar descriptive definitions of the Lebesgue and Denjoy-Perron integrals.