On the inequality of Mathieu.
Acu, Dumitru (1996)
General Mathematics
Takeshi Kano (1984)
Elemente der Mathematik
Ladislav, Jr. Mišík, Tibor Žáčik (1993)
Commentationes Mathematicae Universitatis Carolinae
In the paper, some kind of independence between upper metric dimension and natural order of converging sequences is shown — for any sequence converging to zero there is a greater sequence with an arbitrary () upper dimension. On the other hand there is a relationship to summability of series — the set of elements of any positive summable series must have metric dimension less than or equal to .
Gökhan, A., Güngör, M., Bulut, Y. (2006)
APPS. Applied Sciences
D. Landers, L. Rogge (1975)
Manuscripta mathematica
Ján Šipoš (1989)
Mathematica Slovaca
Tibor Šalát (1973)
Fundamenta Mathematicae
Bhardwaj, Vinod K., Bala, Indu (2007)
International Journal of Mathematics and Mathematical Sciences
Pehlivan, S. (1997)
International Journal of Mathematics and Mathematical Sciences
Mariusz Skałba (1998)
Mathematica Slovaca
Savaş, Ekrem (2008)
Journal of Inequalities and Applications [electronic only]
Eugen Kováč (2005)
Mathematica Slovaca
Jan Rusinek (1998)
Studia Mathematica
For every symmetric operator acting in a Hilbert space, we introduce the families of p-analytic and p-quasi-analytic vectors (p>0), indexed by positive numbers. We prove various properties of these families. We make use of these families to show that certain results guaranteeing essential selfadjointness of an operator with sufficiently large sets of quasi-analytic and Stieltjes vectors are optimal.
Roman Wituła (2013)
Open Mathematics
The aim of this paper is to discuss one of the most interesting and unsolved problems of the real series theory: rearrangements that preserve sums of series. Certain hypothesis about combinatorial description of the corresponding permutations is presented and basic algebraic properties of the family , introduced by it, are investigated.
A. Clausing (1988)
Aequationes mathematicae
Günter Czichowski (1983)
Studia Mathematica
Leindler, L. (2000)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Németh, J. (2001)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Cornelius Plch (1884)
Časopis pro pěstování mathematiky a fysiky
C.-A. Laisant (1915)
Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale