ArticleOriginal scientific text

Title

Estimates of Lp norms for sums of positive functions

Authors

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).

Keywords

Simple partial fractions, Lp estimates.

Bibliography

  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 Lp(R), Sb. Math. 202 (10) (2011), 1493–1504.
  3. Hardy, G. H., Littlewood, J. E., Pólya, G., Inequalities, Cambridge University Press, Cambridge, 1934.
Main language of publication
English
Published
2013
Published online
2015-07-15
Exact and natural sciences