On Levinson's inequality involving averages of 3- convex functions (CROSBI ID 287931)
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Podaci o odgovornosti
Vukelić, Ana
engleski
On Levinson's inequality involving averages of 3- convex functions
By using the Levinson inequality we give the extension for 3-convex functions of Wulbert’s result from Favard’s Inequality on Average Values of Convex Functions, Math. Comput. Model. 37 (2003), 1383–1391. Also, we obtain inequalities with divided differences, and as a consequence, the convexity of higher order for function defined by divided difference is proved. Further, we construct a new family of exponentially convex functions and Cauchy-type means by looking at linear functionals associated with these new inequalities.
Levinson’s inequality ; divided difference ; n-convex function ; (n, m)-convex function ; mean
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Podaci o izdanju
14 (3)
2020.
670-684
objavljeno
1452-8630
10.2298/aadm190221045v