# Estimates of L p norms for sums of positive functions

Annales UMCS, Mathematica (2013)

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

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topIlgiz 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

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

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