Naslov
Inequalities of Minkowski type

Autori
Varošanec, Sanja

Izvornik
Real analysis exchange (0147-1937) 20 (1994), 1; 250-255

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Minkowski's inequality; Bellman's inequality

Sažetak
Let f be a real nonnegative, nondecreasing function defined on segment a, b, and x_i are nonnegative nondecreasing functions with continuous first derivative. If p>1, then (\int_a^b (\sum_{; ; i=1}; ; ^n x_i^p(t))'f(t)dt)^{; ; 1/p}; ; \geq \sum_{; ; i=1}; ; ^n (\int_a^b (x_i^p(t))'f(t)dt)^{; ; 1/p}; ; . If f is nonincreasing and x_i(a)=0 for all i, then the reverse inequality holds.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA