Add to ORKGThe aim of this paper is to provide characterizations of the Lebesgue-almost everywhere continuity of a function f : [a, b] → R. These characteri-zations permit to obtain necessary and sufficient conditions for the Riemann integrability of f
AbstractWe discuss a scale of necessary conditions for the integrability of a function f:[a,∞)→R, ba...
It is well known, as follows from the Banach-Steinhaus theorem, that if a sequence $\left\{ y_{n}\r...
Let \(M(r) := \max_{|z|=r} |f(z)|\), where \(f(z)\) is an entire function. Also let \(\alpha> 0\)...
Given an arbitrary real function f , the set D_f of all points where f admits approximate limit is t...
Given an arbitrary real function f , the set D_f of all points where f admits approximate limit is t...
Given an arbitrary real function f , the set D_f of all points where f admits approximate limit is t...
Given an arbitrary real function f , the set D_f of all points where f admits approximate limit is t...
AbstractThe subset of Riemann integrable functions in L1[0,1] is a Borel set which is Π30-complete, ...
AbstractEach measurable map of an open set U⊂Rn to Rn is equal almost everywhere to the gradient of ...
The aim of this paper is to discuss the absolute continuity of certain composite functions and di er...
Some theorems on continuity are presented. First we will prove that every convex function f :Rn -> R...
Topics include: Semicontinuity, equicontinuity, absolute continuity, metric spaces, compact spaces, ...
A new class of functions called ‘almost δgβ-continuous functions’ is introduced and their basic prop...
AbstractIt is consistent that for every function f:R×R→R there is an uncountable set A⊆R and two con...
Let D be the unit disk. We show that for some relatively closed set F ⊂ D there is a function f that...
AbstractWe discuss a scale of necessary conditions for the integrability of a function f:[a,∞)→R, ba...
It is well known, as follows from the Banach-Steinhaus theorem, that if a sequence $\left\{ y_{n}\r...
Let \(M(r) := \max_{|z|=r} |f(z)|\), where \(f(z)\) is an entire function. Also let \(\alpha> 0\)...
Given an arbitrary real function f , the set D_f of all points where f admits approximate limit is t...
Given an arbitrary real function f , the set D_f of all points where f admits approximate limit is t...
Given an arbitrary real function f , the set D_f of all points where f admits approximate limit is t...
Given an arbitrary real function f , the set D_f of all points where f admits approximate limit is t...
AbstractThe subset of Riemann integrable functions in L1[0,1] is a Borel set which is Π30-complete, ...
AbstractEach measurable map of an open set U⊂Rn to Rn is equal almost everywhere to the gradient of ...
The aim of this paper is to discuss the absolute continuity of certain composite functions and di er...
Some theorems on continuity are presented. First we will prove that every convex function f :Rn -> R...
Topics include: Semicontinuity, equicontinuity, absolute continuity, metric spaces, compact spaces, ...
A new class of functions called ‘almost δgβ-continuous functions’ is introduced and their basic prop...
AbstractIt is consistent that for every function f:R×R→R there is an uncountable set A⊆R and two con...
Let D be the unit disk. We show that for some relatively closed set F ⊂ D there is a function f that...
AbstractWe discuss a scale of necessary conditions for the integrability of a function f:[a,∞)→R, ba...
It is well known, as follows from the Banach-Steinhaus theorem, that if a sequence $\left\{ y_{n}\r...
Let \(M(r) := \max_{|z|=r} |f(z)|\), where \(f(z)\) is an entire function. Also let \(\alpha> 0\)...