Add to ORKGsummary:It is shown that a monotone function acting between euclidean spaces $R^n$ and $R^m$ is continuous almost everywhere with respect to the Lebesgue measure on $R^n$
The aim of this paper is to investigate class of continuity named ω β continuity. Some characteriza...
AbstractIt is shown that every full eA decomposable probability measure on Rk, where A is a linear o...
We construct quasiconformal mappings in Euclidean spaces by integration of a discontinuous kernel ag...
summary:It is shown that a monotone function acting between euclidean spaces $R^n$ and $R^m$ is cont...
1. It is an elementary but useful fact that a real monotone function f(x) on an at most countable nu...
AbstractA proof is given that every separable, compact, monotonically normal space X is the continuo...
AbstractLet Ω denote the unit n-cube, [0, 1]n, and let M be the set of all real valued functions on ...
AbstractWe prove that if a function μ is locally integrable with its gradient also locally integrabl...
Monotonicity of functions were of great interest of many mathematicians. Starting from the well know...
A function g : R n → R is linearly continuous provided its restriction g ` to every straight line ...
AbstractIn this paper we show that a best monotone ϕ-approximant g on the cube (-1,1)n to a continuo...
A continuous, real function is strictly monotone over any domain interval that contains no critical ...
This paper is meant to serve as an exposition on the theorem proved by Richard Aron, V.I. Gurariy an...
Let X = {x1, x2, ...} be a countably infinite topological space; then the space C*(X) of all bounded...
summary:Answering a question asked by K. C. Ciesielski and T. Glatzer in 2013, we construct a $C^1$-...
The aim of this paper is to investigate class of continuity named ω β continuity. Some characteriza...
AbstractIt is shown that every full eA decomposable probability measure on Rk, where A is a linear o...
We construct quasiconformal mappings in Euclidean spaces by integration of a discontinuous kernel ag...
summary:It is shown that a monotone function acting between euclidean spaces $R^n$ and $R^m$ is cont...
1. It is an elementary but useful fact that a real monotone function f(x) on an at most countable nu...
AbstractA proof is given that every separable, compact, monotonically normal space X is the continuo...
AbstractLet Ω denote the unit n-cube, [0, 1]n, and let M be the set of all real valued functions on ...
AbstractWe prove that if a function μ is locally integrable with its gradient also locally integrabl...
Monotonicity of functions were of great interest of many mathematicians. Starting from the well know...
A function g : R n → R is linearly continuous provided its restriction g ` to every straight line ...
AbstractIn this paper we show that a best monotone ϕ-approximant g on the cube (-1,1)n to a continuo...
A continuous, real function is strictly monotone over any domain interval that contains no critical ...
This paper is meant to serve as an exposition on the theorem proved by Richard Aron, V.I. Gurariy an...
Let X = {x1, x2, ...} be a countably infinite topological space; then the space C*(X) of all bounded...
summary:Answering a question asked by K. C. Ciesielski and T. Glatzer in 2013, we construct a $C^1$-...
The aim of this paper is to investigate class of continuity named ω β continuity. Some characteriza...
AbstractIt is shown that every full eA decomposable probability measure on Rk, where A is a linear o...
We construct quasiconformal mappings in Euclidean spaces by integration of a discontinuous kernel ag...