Pregled bibliografske jedinice broj: 148944
New (probabilistic) derivation of Diaz-Metcalf and P\'{;o}; lya-Szeg\H{; o}; inequalities and consequences
New (probabilistic) derivation of Diaz-Metcalf and P\'{;o}; lya-Szeg\H{; o}; inequalities and consequences // Teoriya Imovirnosti ta Matematichna Statystika, 70 (2004), 105-113 (podatak o recenziji nije dostupan, članak, znanstveni)
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Naslov
New (probabilistic) derivation of Diaz-Metcalf and P\'{;o}; lya-Szeg\H{; o}; inequalities and consequences
(New (probabilistic) derivation of Diaz-Metcalf and P\'{;o}; lya-Szeg\H{;o}; inequalities and consequences)
Autori
Poganj, Tibor K.
Izvornik
Teoriya Imovirnosti ta Matematichna Statystika (0094-9000) 70
(2004);
105-113
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Almost surely bounded random variable; Diaz-Metcalf inequality; discrete inequality; integral inequality; Kanotorovich inequality; mathematical expectation; P\'olya-Szeg\H o inequality; Rennie ineuquality; Schweitzer inequality
Sažetak
Classical inequalities of Diaz-Metcalf and P\'olya-Szeg\H{;o}; are generalized to probabilistic setting which covers the initial deterministic (both discrete and integral) variants. From these two inequalities, by the probabilistic derivation method forther well known inequalities are obtained (that ones by Kantorovich, Rennie and Schweitzer).
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
- Zentralblatt fur Mathematik
- Referativnij Zhurnal
- Pascal
