Estimates of norms for sums of positive functions
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2013)
- Volume: 67, Issue: 2
- ISSN: 0365-1029
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Abstract
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topIlgiz Kayumov. "Estimates of $L_p$ norms for sums of positive functions." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 67.2 (2013): null. <http://eudml.org/doc/289782>.
@article{IlgizKayumov2013,
abstract = {We present new inequalities of $L_p$ norms for sums of positive functions. These inequalities are useful for investigation of convergence of simple partial fractions in $L_p(\mathbb \{R\})$.},
author = {Ilgiz Kayumov},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Simple partial fractions; $L_p$ estimates.},
language = {eng},
number = {2},
pages = {null},
title = {Estimates of $L_p$ norms for sums of positive functions},
url = {http://eudml.org/doc/289782},
volume = {67},
year = {2013},
}
TY - JOUR
AU - Ilgiz Kayumov
TI - Estimates of $L_p$ norms for sums of positive functions
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2013
VL - 67
IS - 2
SP - null
AB - We present new inequalities of $L_p$ norms for sums of positive functions. These inequalities are useful for investigation of convergence of simple partial fractions in $L_p(\mathbb {R})$.
LA - eng
KW - Simple partial fractions; $L_p$ estimates.
UR - http://eudml.org/doc/289782
ER -
References
top- Protasov, V. Yu., Approximation by simple partial fractions and the Hilbert transform, Izv. Math. 73 (2) (2009), 333–349.
- Kayumov, I. R., Convergence of simple partial fractions in , Sb. Math. 202 (10) (2011), 1493–1504.
- Hardy, G. H., Littlewood, J. E., Pólya, G., Inequalities, Cambridge University Press, Cambridge, 1934.
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