summary:Let $f H\subset\Bbb R\to\Bbb R$ be $k$ times differentiable in both the usual (iterative) and Peano senses. We investigate when the usual derivatives and the corresponding Peano derivatives are different and the nature of the set where they are different
In this paper we investigate for which closed subsets P of the real line R there exists a continuous...
AbstractWe study irregularity properties of generic Peano functions; we apply these results to the d...
AbstractA p-adic-valued function on the p-adic integers has a continuous derivative, Mahler showed, ...
summary:Let $f H\subset\Bbb R\to\Bbb R$ be $k$ times differentiable in both the usual (iterative) an...
summary:Let $H\subset [0,1]$ be a closed set, $k$ a positive integer and $f$ a function defined on $...
summary:It is shown that $n$ times Peano differentiable functions defined on a closed subset of $\ma...
Peano differentiability generalizes ordinary differentiability to higher order. There are two ways t...
summary:Results of Jan Marik on the theory of derivatives of real functions are described
AbstractLet f(t) be defined in ¦0, 1¦ by f(t) = 0 if 0 ⩽ t ⩽ 13, = 3t − 1 if 13, ⩽ t ⩽ 23, − 1 if 23...
summary:An ODE with non-Lipschitz right hand side has been considered. A family of solutions with $L...
summary:Several mean value theorems for higher order divided differences and approximate Peano deriv...
It is well known that T(r,f) is differentiable at least for r\u3er0. We show that, in fact, T(r,f) i...
We construct an algebra of dimension $2^{\aleph_0}$ consisting only of functions which in no point p...
We study irregularity properties of generic Peano functions: we apply these results to the determina...
We investigate the regularity of functions $g$ such that $g^{2}=f$, where $f$ is a given nonnegative...
In this paper we investigate for which closed subsets P of the real line R there exists a continuous...
AbstractWe study irregularity properties of generic Peano functions; we apply these results to the d...
AbstractA p-adic-valued function on the p-adic integers has a continuous derivative, Mahler showed, ...
summary:Let $f H\subset\Bbb R\to\Bbb R$ be $k$ times differentiable in both the usual (iterative) an...
summary:Let $H\subset [0,1]$ be a closed set, $k$ a positive integer and $f$ a function defined on $...
summary:It is shown that $n$ times Peano differentiable functions defined on a closed subset of $\ma...
Peano differentiability generalizes ordinary differentiability to higher order. There are two ways t...
summary:Results of Jan Marik on the theory of derivatives of real functions are described
AbstractLet f(t) be defined in ¦0, 1¦ by f(t) = 0 if 0 ⩽ t ⩽ 13, = 3t − 1 if 13, ⩽ t ⩽ 23, − 1 if 23...
summary:An ODE with non-Lipschitz right hand side has been considered. A family of solutions with $L...
summary:Several mean value theorems for higher order divided differences and approximate Peano deriv...
It is well known that T(r,f) is differentiable at least for r\u3er0. We show that, in fact, T(r,f) i...
We construct an algebra of dimension $2^{\aleph_0}$ consisting only of functions which in no point p...
We study irregularity properties of generic Peano functions: we apply these results to the determina...
We investigate the regularity of functions $g$ such that $g^{2}=f$, where $f$ is a given nonnegative...
In this paper we investigate for which closed subsets P of the real line R there exists a continuous...
AbstractWe study irregularity properties of generic Peano functions; we apply these results to the d...
AbstractA p-adic-valued function on the p-adic integers has a continuous derivative, Mahler showed, ...
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