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Further bounds for Hardy type differences (CROSBI ID 174039)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Krulić, Kristina ; Pečarić, Josip ; Pokaz, Dora Further bounds for Hardy type differences // Acta mathematica sinica-english series, 28 (2012), 6; 1091-1102. doi: 10.1007/s10114-012-0592-3

Podaci o odgovornosti

Krulić, Kristina ; Pečarić, Josip ; Pokaz, Dora

engleski

Further bounds for Hardy type differences

In this paper we define a functional as a difference between the right-hand side and left- hand side of the refined Boas type inequality using the notation of superquadratic and subquadratic functions and study its properties, such as exponential and logarithmic convexity. We also, state and prove improvements and reverses of new weighted Boas type inequalities. As a special case of our result we obtain improvements and reverses of the Hardy inequality and its dual inequality. We introduce new Cauchy type mean and prove monotonicity property of this mean.

Inequalities; Boas inequality; superquadratic function; subquadratic function

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Podaci o izdanju

28 (6)

2012.

1091-1102

objavljeno

1439-8516

10.1007/s10114-012-0592-3

Povezanost rada

Matematika

Poveznice
Indeksiranost