Pregled bibliografske jedinice broj: 838245
Generalizations of Sherman's Inequality by Lidstone's Interpolating Polynomial
Generalizations of Sherman's Inequality by Lidstone's Interpolating Polynomial // 4th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA-2015 / Tosun, Murat (ur.).
Atena, Grčka, 2015. str. 305-305 (predavanje, nije recenziran, sažetak, znanstveni)
CROSBI ID: 838245 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalizations of Sherman's Inequality by Lidstone's Interpolating Polynomial
Autori
Agarwal, Ravi P. ; Ivelić Bradanović, Slavica ; Pečarić, Josip
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
4th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA-2015
/ Tosun, Murat - , 2015, 305-305
Skup
4th International Eurasian Conference on Mathematical Sciences and Applications, IECMSA-2015
Mjesto i datum
Atena, Grčka, 31.08.2015. - 03.09.2015
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
majorization; n-convexity; Schur-convexity; Sherman's theorem; Lidstone interpolating polynomial; Čebyšev functional; Grüss type inequalities; Ostrowsky-type inequalities; exponentially convex functions; log-convex functions; means
Sažetak
In majorization theory, the well known Majorization theorem plays a very important role. More general result is obtained by S. Sherman. In this paper, concerning 2n-convex functions, we get generalizations of these results applying Lidstone's interpolating polynomials and Čebyšev functional. Using obtained results, we generate new familly of exponentially convex functions. The outcome are some new classes of two-parameter Cauchy-type means
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Fakultet građevinarstva, arhitekture i geodezije, Split,
Tekstilno-tehnološki fakultet, Zagreb