On the existence of functions with perfect level sets.
On the existence of -primitives on arbitrary metric spaces
On the extension and generation of set-valued mappings of bounded variation
We study set-valued mappings of bounded variation of one real variable. First we prove the existence of an extension of a metric space valued mapping from a subset of the reals to the whole set of reals with preservation of properties of the initial mapping: total variation, Lipschitz constant or absolute continuity. Then we show that a set-valued mapping of bounded variation defined on an arbitrary subset of the reals admits a regular selection of bounded variation. We introduce a notion of generated...
On the failure of a decomposition
On the family of functions with a closure of its graph of measure zero
On the family of sets of approximate limit numbers
On the first derivative of real functions (Preliminary communication)
On the fixed points in an -limit set
Let and be closed subsets of [0,1] with a subset of the limit points of . Necessary and sufficient conditions are found for the existence of a continuous function such that is an -limit set for and is the set of fixed points of in .
On the Fourier Coefficients of a Function of Lambda - Bounded Variation
On the fractional integral of Weyl in Lp.
On the functional equation f(...(x) + g(y)) = ..(x) * h(x+y). (Short Communication).
On the functional equation f(...(x) + g(y)) = ...(x) * h(x+y).
On the generalizations of two Ozeki's results
On the Generalized Banach Indicatrix
On the Generalized Confluent Hypergeometric Function and Its Application
2000 Mathematics Subject Classification: 26A33, 33C20This paper is devoted to further development of important case of Wright’s hypergeometric function and its applications to the generalization of Γ-, B-, ψ-, ζ-, Volterra functions.
On the identric and logarithmic means.
On the impossibility of approximating convex functions with ones.
On the insertion of Darboux, Baire-one functions
On the insertion of Darboux functions
The main goal of this paper is to characterize the family of all functions f which satisfy the following condition: whenever g is a Darboux function and f < g on ℝ there is a Darboux function h such that f < h < g on ℝ.
On the intersection of the sets of the right and left internal approximate derivatives