Geodesic
Estimates for $L_p$-norms of simple partial fractions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2014), pp. 9-19

Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain estimates for $L_p$-norms of simple partial fractions in terms of their $L_r$-norms on limited and unlimited segments of the real axis for different $p>1$ and $r>1$ (S. M. Nikolskii type inequalities). We adduce examples and remarks about sharpness of these inequalities and sphere of their application.
Mots-clés : simple partial fractions
Keywords: $L_p$-norms, estimates for derivatives of simple partial fractions. 
@article{IVM_2014_6_a1,
     author = {V. I. Danchenko and A. E. Dodonov},
     title = {Estimates for $L_p$-norms of simple partial fractions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {9--19},
     publisher = {mathdoc},
     number = {6},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_6_a1/}
}
TY  - JOUR
AU  - V. I. Danchenko
AU  - A. E. Dodonov
TI  - Estimates for $L_p$-norms of simple partial fractions
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2014
SP  - 9
EP  - 19
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2014_6_a1/
LA  - ru
ID  - IVM_2014_6_a1
ER  - 
%0 Journal Article
%A V. I. Danchenko
%A A. E. Dodonov
%T Estimates for $L_p$-norms of simple partial fractions
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2014
%P 9-19
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2014_6_a1/
%G ru
%F IVM_2014_6_a1
V. I. Danchenko; A. E. Dodonov. Estimates for $L_p$-norms of simple partial fractions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2014), pp. 9-19. http://geodesic.mathdoc.fr/item/IVM_2014_6_a1/