Pregled bibliografske jedinice broj: 692103
Extension of Stolarsky means by Euler-Radau expansions
Extension of Stolarsky means by Euler-Radau expansions // Advances in inequalities and applications, 2014 (2014), 7-1 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 692103 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Extension of Stolarsky means by Euler-Radau expansions
Autori
Roqia, Gulam ; Jakšetić, Julije ; Pečarić, Josip
Izvornik
Advances in inequalities and applications (2050-7461) 2014
(2014);
7-1
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
General two-point formulae; Stolarsky means; exponential convexity; Cauchy means.
Sažetak
We present construction of exponentially convex functions via functionals that follow from some inequalities for convex functions. These inequalities are derived from expansions of Euler and Radau. Using fruitful properties of exponential convexity we construct various means that have nice monotone properties over defining parameters. We further show how known results about Cauchy means can be treated in a succinct way.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Fakultet strojarstva i brodogradnje, Zagreb
