Geodesic
On inequalities related to some quasi-convex functions
Problemy analiza, Tome 4 (2015) no. 2, pp. 45-64

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Estimations of errors in inequalities related to some quasi-convex functions in literature are simplified. Two new general inequalities for functions whose $n$-th derivatives for any positive integer $n$ in absolute values are quasi-convex have been established. Some special cases are discussed with applications in numerical integration and special means.
Keywords: inequalities, quasi-convex function, Simpson type rule, numerical integration, special means. 
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     author = {Z. Liu},
     title = {On inequalities related to some quasi-convex functions},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2015_4_2_a4/}
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Z. Liu. On inequalities related to some quasi-convex functions. Problemy analiza, Tome 4 (2015) no. 2, pp. 45-64. http://geodesic.mathdoc.fr/item/PA_2015_4_2_a4/