Pregled bibliografske jedinice broj: 954223
Generalizations of Sherman’s inequality by Montgomery identity and Green function
Generalizations of Sherman’s inequality by Montgomery identity and Green function // Electronic journal of mathematical analysis and applications, 5 (2017), 1; 1-16 (međunarodna recenzija, članak, ostalo)
CROSBI ID: 954223 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalizations of Sherman’s inequality by Montgomery identity and Green function
Autori
Khan, M. A. ; Khan, J. ; Pečarić, Josip
Izvornik
Electronic journal of mathematical analysis and applications (2090-729X) 5
(2017), 1;
1-16
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, ostalo
Ključne riječi
majorization ; n-convexity ; Montgomery identity ; Sherman’s theorem ; Montgomery identity ; Cebysev functional ; Gruss type inequality ; Ostrowsky-type inequality ; exponentially convex functions ; log-convex functions ; means
Sažetak
In this paper, we give generalization of Sherman inequality by using Green function and Montgomery identity. We present Gr¨uss and Ostrowskitype inequalities related to generalized Sherman inequality. We give mean value theorems and n-exponential convexity for the functional associated to generalized inequality. We also give a family of functions which support our results for exponentially convex functions and construct a class of means.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
