83 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- African Institute for Mathematical SciencesZA5 papers
- Toronto Metropolitan UniversityCA5 papers
- University of OttawaCA4 papers
- University of WarsawPL4 papers
- Bialystok University of TechnologyPL2 papers
- Prince Mohammad bin Fahd UniversitySA2 papers
- University of AveiroPT2 papers
- University of LimpopoZA2 papers
- Akdeniz University HospitalTR1 paper
- Binghamton UniversityUS1 paper
- Broad InstituteUS1 paper
- Central European UniversityAT1 paper
5 papers · 1 filter
Fractional differential equations with dependence on the Caputo-Katugampola derivative
Ricardo Almeida, Agnieszka B. Malinowska, Tatiana Odzijewicz
In this paper we present a new type of fractional operator, the Caputo-Katugampola derivative. The Caputo and the Caputo-Hadamard fractional derivatives are special cases of this n…
On a generalisation of the Banach indicatrix theorem
Rafał M. Łochowski
We prove that for any regulated function and the infimum of the total variations of functions approximating with accuracy $c…
A new theorem on the existence of the Riemann-Stieltjes integral and an improved version of the Loéve-Young inequality
Rafał M. Łochowski
Using the notion of the truncated variation we obtain a new theorem on the existence and estimation of the Riemann-Stieltjes integral. As a special case of this theorem we obtain a…
The Play Operator, the Truncated Variation and the Generalisation of the Jordan Decomposition
R. Ghomrasni, R. Łochowski
The play operator minimalizes the total variation on intervals , of functions approximating uniformly given regulated function with given accuracy and starting from a…
On the Generalisation of the Hahn-Jordan Decomposition for Real Càdlàg Functions
Rafał M. Łochowski
For a real càdlàg function f and a positive constant c we find another càdlàg function, which has the smallest total variation pos- sible among all functions uniformly approximatin…