Pregled bibliografske jedinice broj: 965656
On Levinson's inequality involving averages of 3- convex functions
On Levinson's inequality involving averages of 3- convex functions // MICOPAM 2018 / Simsek, Yilmaz (ur.).
Antalya: Akdeniz University, 2018. str. 64-64 (pozvano predavanje, podatak o recenziji nije dostupan, sažetak, znanstveni)
CROSBI ID: 965656 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On Levinson's inequality involving averages of 3- convex functions
Autori
Vukelić, Ana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
MICOPAM 2018
/ Simsek, Yilmaz - Antalya : Akdeniz University, 2018, 64-64
Skup
The Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM 2018)
Mjesto i datum
Antalya, Turska, 26.10.2018. - 29.10.2018
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Podatak o recenziji nije dostupan
Ključne riječi
Levinson's inequality, divided differences, $n$-convex function, $(n, m)$-convex function, means, exponential convexity
Sažetak
By using the integral arithmetic mean and the Levinson inequality we give the extension for $3$-convex function of Wulbert's result from \cite{;wulbert};. Also, we obtain inequalities with divided differences using the Levinson inequality. As a consequence, the convexity of higher order for function define by divided difference is proved. Further, we construct a new family of exponentially convex functions and Cauchy-type means by exploring at linear functionals with the obtained inequalities.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
