On limits of -norms of an integral operator
Applications of Mathematics (1994)
- Volume: 39, Issue: 4, page 299-307
- ISSN: 0862-7940
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topStavinoha, Pavel. "On limits of $L_p$-norms of an integral operator." Applications of Mathematics 39.4 (1994): 299-307. <http://eudml.org/doc/32885>.
@article{Stavinoha1994,
abstract = {A recurrence relation for the computation of the $L_p$-norms of an Hermitian Fredholm integral operator is derived and an expression giving approximately the number of eigenvalues which in absolute value are equal to the spectral radius is determined. Using the $L_p$-norms for the approximation of the spectral radius of this operator an a priori and an a posteriori bound for the error are obtained. Some properties of the a posteriori bound are discussed.},
author = {Stavinoha, Pavel},
journal = {Applications of Mathematics},
keywords = {$L_p$-norms of an integral operator; Hermitian Fredholm integral operator; recurrence relation for the computation of the -norms of an Hermitian Fredholm integral operator; number of eigenvalues which in absolute value are equal to the spectral radius; -norms; a priori and an a posteriori bound for the error},
language = {eng},
number = {4},
pages = {299-307},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On limits of $L_p$-norms of an integral operator},
url = {http://eudml.org/doc/32885},
volume = {39},
year = {1994},
}
TY - JOUR
AU - Stavinoha, Pavel
TI - On limits of $L_p$-norms of an integral operator
JO - Applications of Mathematics
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 4
SP - 299
EP - 307
AB - A recurrence relation for the computation of the $L_p$-norms of an Hermitian Fredholm integral operator is derived and an expression giving approximately the number of eigenvalues which in absolute value are equal to the spectral radius is determined. Using the $L_p$-norms for the approximation of the spectral radius of this operator an a priori and an a posteriori bound for the error are obtained. Some properties of the a posteriori bound are discussed.
LA - eng
KW - $L_p$-norms of an integral operator; Hermitian Fredholm integral operator; recurrence relation for the computation of the -norms of an Hermitian Fredholm integral operator; number of eigenvalues which in absolute value are equal to the spectral radius; -norms; a priori and an a posteriori bound for the error
UR - http://eudml.org/doc/32885
ER -
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