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On the quadratic support of strongly convex functions
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نویسنده
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abbaszadeh s. ,eshaghi gordji m.
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منبع
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international journal of nonlinear analysis and applications - 2016 - دوره : 7 - شماره : 1 - صفحه:15 -20
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چکیده
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In this paper, we first introduce the notion of c-affine functions for c > 0. then we deal with someproperties of strongly convex functions in real inner product spaces by using a quadratic supportfunction at each point which is c-affine. moreover, a hyers-ulam stability result for strongly convexfunctions is shown.
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کلیدواژه
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strongly convex function; Hahn–Banach theorem; c-affine functions; quadratic support
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آدرس
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semnan university, faculty of mathematics, statistics and computer sciences, department of mathematics, ایران. azad university, malayer branch, young researchers and elite club, ایران, semnan university, faculty of mathematics, statistics and computer sciences, department of mathematics, ایران
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Authors
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