On a multiple Hilbert-type integral operator and applications.
On a new class of distances between fuzzy numbers.
In the course of the studies on fuzzy regression analysis, we encountered the problem of introducing a distance between fuzzy numbers, which replaces the classical (x - y)2 on the real line. Our proposal is to compute such a function as a suitable weighted mean of the distances between the α-cuts of the fuzzy numbers. The main difficulty is concerned with the definition of the distance between intervals, since the current definitions present some disadvantages which are undesirable in our context....
On a new class of elastic deformations not allowing for cavitation
On a new class of refined discrete Hardy-type inequalities.
ON A NEW CONVERSE OF JENSEN'S INEQUALITY
On a new generalisation of Ostrowski's inequality.
On a new generalization of Alzer's inequality.
On a new Hilbert-Hardy-type integral operator and applications.
On a new multiple extension of Hilbert's integral inequality.
On a new strengthened version of a Hardy-Hilbert type inequality and applications.
On a new weighted Hilbert inequality.
On a probability inequality for multivariate normal distribution
On a problem by Shapiro.
On a problem concerning quasianalytic local rings
Let (ₙ)ₙ be a quasianalytic differentiable system. Let m ∈ ℕ. We consider the following problem: let and f̂ be its Taylor series at . Split the set of exponents into two disjoint subsets A and B, , and decompose the formal series f̂ into the sum of two formal series G and H, supported by A and B, respectively. Do there exist with Taylor series at zero G and H, respectively? The main result of this paper is the following: if we have a positive answer to the above problem for some m ≥ 2, then...
On a problem concerning uniform ;imits of Darboux functions
On a problem of Davison.
On a problem of J. Schnitzer
On a problem of Matkowski
We solve Matkowski's problem for strictly comparable quasi-arithmetic means.
On a problem of Mazur from "The Scottish Book" concerning second partial derivatives
We comment on a problem of Mazur from “The Scottish Book" concerning second partial derivatives. We prove that if a function f(x,y) of real variables defined on a rectangle has continuous derivative with respect to y and for almost all y the function has finite variation, then almost everywhere on the rectangle the partial derivative exists. We construct a separately twice differentiable function whose partial derivative is discontinuous with respect to the second variable on a set of positive...
On a problem of R. C. Baker