Some scales of equivalent conditions to characterize the Stieltjes inequality: the case q < p

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00424831" target="_blank" >RIV/67985840:_____/14:00424831 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/mana.201200118" target="_blank" >http://dx.doi.org/10.1002/mana.201200118</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.201200118" target="_blank" >10.1002/mana.201200118</a>

Result language
angličtina
Original language name
Some scales of equivalent conditions to characterize the Stieltjes inequality: the case q < p
Original language description
We prove that the weighted Stieltjes inequality can be characterized by four different scales of conditions also for the case 0 < q < p < , 1 < p. In particular,a new proof of a result of G. Sinnamon [10] is given, which also covers the case 0 < q < 1. Moreover, for the situation at hand a new gluing theorem and also an equivalence theorem of independent interest are proved and discussed. By applying our new equivalence theorem to weighted inequalities for the Stieltjes transform we obtain the four newscales of conditions for characterization of Stieltjes inequality.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)