Pregled bibliografske jedinice broj: 398448
Hilbert Inequalities Related to Generalized Hypergeometric Functions mFn
Hilbert Inequalities Related to Generalized Hypergeometric Functions mFn // Mathematica balkanica, 22 (2008), 3-4; 307-322 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 398448 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Hilbert Inequalities Related to Generalized Hypergeometric Functions mFn
Autori
Krnić, Mario ; Tomovski Živorad ; Pečarić Josip
Izvornik
Mathematica balkanica (0205-3217) 22
(2008), 3-4;
307-322
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert type ineqwuality; Hardy-parameters; beta function; gamma function; Hypergeometric function; Gaussian hypergeometric function; Poisson-type integral representation; fractional calculus
Sažetak
Using the Poisson-type integral representations of generalized hypergeometric function mFn, we derive here some new classes of multidimensional inequalities of Hilbert and Hardy-Hilbert type with some special kernels. These results generalize coressponding inequalities for Gaussian hypergeometric functions, previously known from the literature
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
036-1170889-1054 - Ocjene suma, integrala i integralnih transformacija (Elezović, Neven, MZO ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
