Pregled bibliografske jedinice broj: 914009
Popoviciu type inequalities via Green function and Hermite’s polynomial
Popoviciu type inequalities via Green function and Hermite’s polynomial // Journal of Orissa Mathematical Society, 35 (2016), 1-2; 25-45 (podatak o recenziji nije dostupan, članak, znanstveni)
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Naslov
Popoviciu type inequalities via Green function and Hermite’s polynomial
Autori
Butt, Saad Ihsan ; Mohapatra, Ram N. ; Pečarić, Josip
Izvornik
Journal of Orissa Mathematical Society (0975-2323) 35
(2016), 1-2;
25-45
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Convex Function ; Divided Difference ; Generalized Montgomery Identity ; Čebyšev Functional ; Gruss Inequality ; Ostrowski Inequality ; Exponential Convexity
Sažetak
The Hermite polynomial and Green function are used to construct the identities related to Popoviciu type inequalities for higher order convex functions. We investigate the bounds for the identities related to the generalization of the Popoviciu inequality using inequalities for the Čebyšev functional. Some results relating to the Gruss and Ostrowski type inequalities are constructed. Further, we also construct new families of exponentially convex functions and Cauchy-type means by looking at linear functionals associated with the obtained inequalities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
