New bounds for the identric mean of two arguments.
New means of Cauchy's type.
Non-archimedean monotone functions
Nonparametric recursive aggregation process
In this work we introduce a nonparametric recursive aggregation process called Multilayer Aggregation (MLA). The name refers to the fact that at each step the results from the previous one are aggregated and thus, before the final result is derived, the initial values are subjected to several layers of aggregation. Most of the conventional aggregation operators, as for instance weighted mean, combine numerical values according to a vector of weights (parameters). Alternatively, the MLA operators...
Non-Standard Analysis And Generalized Functions.
Nonstandard analysis and generalized Riemann integrals
Non-standard analysis and homology
Nonstandard analysis and the theory of shape
Non-standard characterisations of ideals in C(X).
Nonstandard methods for Navier-Stokes equations
Normal bases of rings of continuous functions constructed with the (qₙ)-digit principle
Note on an inequality of F. Qi and L. Debnath.
Note on certain inequalities for means in two variables.
Note on weighted Carleman-type inequality.
On a conjecture of de La Grandville and Solow concerning power means.
On a geometric property of positive definite matrices cone.
On a linear functional equation with a mean-type mapping having no fixed points
Our aim is to study continuous solutions φ of the classical linear iterative equation φ(f(x,y)) = g(x,y)φ(x,y) + h(x,y), where the given function f is defined as a pair of means. We are interested in the case when f has no fixed points. In turns out that in such a case continuous solutions of (1) depend on an arbitrary function.
On a mean value theorem in the class of Herglotz functions and its 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 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...