ArticleOriginal scientific textEstimates of
Title
Estimates of norms for sums of positive functions
Authors
Abstract
We present new inequalities of norms for sums of positive functions. These inequalities are useful for investigation of convergence of simple partial fractions in .
Keywords
Simple partial fractions, estimates.
Bibliography
- 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
, Sb. Math. 202 (10) (2011), 1493–1504. - Hardy, G. H., Littlewood, J. E., Pólya, G., Inequalities, Cambridge University Press, Cambridge, 1934.