On the quadratic support of strongly convex functions
نویسندگان
چکیده مقاله:
In this paper, we first introduce the notion of $c$-affine functions for $c> 0$. Then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is $c$-affine. Moreover, a Hyers–-Ulam stability result for strongly convex functions is shown.
منابع مشابه
on the quadratic support of strongly convex functions
in this paper, we first introduce the notion of $c$-affine functions for $c> 0$.then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is $c$-affine. moreover, a hyers–-ulam stability result for strongly convex functions is shown.
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عنوان ژورنال
دوره 7 شماره 1
صفحات 15- 20
تاریخ انتشار 2015-12-11
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