A Pick function related to an inequality for the entropy function.
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Berg, Christian (2001)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
И.П. Крэчун, Г.В. Ножак, И.Т. Спиней (1987)
Matematiceskie issledovanija
Yu, Chuenwei (1984)
International Journal of Mathematics and Mathematical Sciences
Anna Kula (2008)
Colloquium Mathematicae
The aim of this paper is to give a q-analogue for complete monotonicity. We apply a classical characterization of Hausdorff moment sequences in terms of positive definiteness and complete monotonicity, adapted to the q-situation. The method due to Maserick and Szafraniec that does not need moments turns out to be useful. A definition of a q-moment sequence appears as a by-product.
Amano, K., Saitoh, S., Syarif, A. (1999)
Zeitschrift für Analysis und ihre Anwendungen
P.G. Laird (1980)
Aequationes mathematicae
U. Stadtmüller (1981)
Journal für die reine und angewandte Mathematik
Rodrigo Arocena (1981)
Studia Mathematica
H. N. Nigam (1970)
Matematički Vesnik
Nair, V.C., Samar, M.S. (1975)
Portugaliae mathematica
Lars Hörmander (1979)
Mathematica Scandinavica
Saverio Giulini (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
A convolution operator, bounded on , is bounded on , with the same operator norm, if and are conjugate exponents. It is well known that this fact is false if we replace with a general non-commutative locally compact group . In this paper we give a simple construction of a convolution operator on a suitable compact group , wich is bounded on for every and is unbounded on if .
C. Berg, J. P. Reuss Christensen, C.U. Jensen (1979)
Mathematische Annalen
Shuichi Okamoto (1983)
Studia Mathematica
Deeba, E.Y., Koh, E.L. (1985)
International Journal of Mathematics and Mathematical Sciences
E. Shargorodsky, J. F. Toland (2003)
Annales de l'I.H.P. Analyse non linéaire
Jonathan Beardsley, Piotr Mikusiński (2013)
Annales Polonici Mathematici
We show that Boehmians defined over open sets of ℝⁿ constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over topological spaces.
Kôsaku Yosida (1983)
Studia Mathematica
Dragiša Mitrović (1977)
Publications de l'Institut Mathématique
Dragiša Mitrović (1977)
Publications de l'Institut Mathématique