Estimates of Lp norms for sums of positive functions
Ilgiz Kayumov
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 67 (2013), / Harvested from The Polish Digital Mathematics Library

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().

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:289782
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     author = {Ilgiz Kayumov},
     title = {Estimates of $L\_p$ norms for sums of positive functions},
     journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
     volume = {67},
     year = {2013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2013_67_2_11-16}
}
Ilgiz Kayumov. Estimates of $L_p$ norms for sums of positive functions. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 67 (2013) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2013_67_2_11-16/

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 Lp(), Sb. Math. 202 (10) (2011), 1493–1504.

Hardy, G. H., Littlewood, J. E., Pólya, G., Inequalities, Cambridge University Press, Cambridge, 1934.