Все о мясе.
2014.
P. 32-35

A criterion is obtained for the Hardy-type inequality (integral(0)(a)\f(x)\(P)v(x)dx)(1/p) less than or equal to c(1){(v(a)integral(0)(a)\f(x)\(P)dx)(1/p) +(integral(0)(a) integral(0)(a)\f(x)-f(y)\(P)w(\x-y\)dxdy)(1/p)} to be valid for 0 < a less than or equal to A less than or equal to infinity and 0 < p < infinity. This weakens a criterion previously found by the first two authors and comes close to being necessary as well as sufficient. when an inequality in the criterion is reversed, a Poincare-type inequality is derived in some cases.

Authors

Publisher

Springer International Publishing

Number of issue

1

Language

English

Pages

1-10

Status

Published

Volume

1

Year

1997

Organizations

^{1}Peoples’ Friendship University of Russia

Keywords

Hardy; Poincare; inequalities; differences

Date of creation

16.03.2021

Date of change

16.03.2021

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Все о мясе.
2014.
P. 32-35

Canadian Journal of Mathematics.
Canadian Mathematical Society.
Vol. 48.
1996.
P. 959-979