Estimates of L p norms for sums of positive functions

Ilgiz Kayumov

Annales UMCS, Mathematica (2013)

  • Volume: 67, Issue: 2, page 11-16
  • ISSN: 2083-7402

Abstract

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We present new inequalities of Lp norms for sums of positive functions. These inequalities are useful for investigation of convergence of simple partial fractions in Lp(ℝ).

How to cite

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Ilgiz Kayumov. " Estimates of L p norms for sums of positive functions ." Annales UMCS, Mathematica 67.2 (2013): 11-16. <http://eudml.org/doc/268199>.

@article{IlgizKayumov2013,
abstract = {We present new inequalities of Lp norms for sums of positive functions. These inequalities are useful for investigation of convergence of simple partial fractions in Lp(ℝ).},
author = {Ilgiz Kayumov},
journal = {Annales UMCS, Mathematica},
keywords = {Simple partial fractions; Lp estimates; simple partial fractions; estimates},
language = {eng},
number = {2},
pages = {11-16},
title = { Estimates of L p norms for sums of positive functions },
url = {http://eudml.org/doc/268199},
volume = {67},
year = {2013},
}

TY - JOUR
AU - Ilgiz Kayumov
TI - Estimates of L p norms for sums of positive functions
JO - Annales UMCS, Mathematica
PY - 2013
VL - 67
IS - 2
SP - 11
EP - 16
AB - We present new inequalities of Lp norms for sums of positive functions. These inequalities are useful for investigation of convergence of simple partial fractions in Lp(ℝ).
LA - eng
KW - Simple partial fractions; Lp estimates; simple partial fractions; estimates
UR - http://eudml.org/doc/268199
ER -

References

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  1. [1] Protasov, V. Yu., Approximation by simple partial fractions and the Hilbert transform, Izv. Math. 73 (2) (2009), 333-349.[WoS] Zbl1178.41010
  2. [2] Kayumov, I. R., Convergence of simple partial fractions in Lp(R), Sb. Math. 202 (10) (2011), 1493-1504.[WoS] Zbl1244.30003
  3. [3] Hardy, G. H., Littlewood, J. E., Pólya, G., Inequalities, Cambridge University Press, Cambridge, 1934. 

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