Pregled bibliografske jedinice broj: 954132
Generalization of Sherman’s theorem by Montgomery identity and new Green functions
Generalization of Sherman’s theorem by Montgomery identity and new Green functions // Advanced Studies In Contemporary Mathematics, 27 (2017), 4; 495-514 (međunarodna recenzija, članak, znanstveni)
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Naslov
Generalization of Sherman’s theorem by Montgomery identity and new Green functions
Autori
Khan, M. A. ; Khan, J. ; Pečarić, J.
Izvornik
Advanced Studies In Contemporary Mathematics (1229-3067) 27
(2017), 4;
495-514
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
majorization ; n-convexity ; Montgomery identity ; Sherman’s theorem ; 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 functions and Montgomery identity. We present Gr¨uss and Ostrowski-type 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
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