Geodesic
Estimates of \(L_p\) norms for sums of positive functions
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 67 (2013) no. 2.

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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(ℝ).
Keywords: Simple partial fractions, \(L_p\) estimates. 
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Kayumov, Ilgiz. Estimates of \(L_p\) norms for sums of positive functions. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 67 (2013) no. 2. http://geodesic.mathdoc.fr/item/AUM_2013_67_2_a2/

[1] Protasov, V. Yu., Approximation by simple partial fractions and the Hilbert transform, Izv. Math. 73 (2) (2009), 333–349.

[2] Kayumov, I. R., Convergence of simple partial fractions in \(L_p(\mathbb{R})\), Sb. Math. 202 (10) (2011), 1493–1504.

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