On the quadratic support of strongly convex functions

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ABBASZADEH S.; ESHAGHI GORDJI M.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS Year:2016 | Volume:7 | Issue:1 Page(s): 15-20

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Title

On the quadratic support of strongly convex functions

Author(s)

ABBASZADEH S. | ESHAGHI GORDJI M. | Issue Writer Certificate

Keywords

strongly convex function

Hahn{Banach theorem

c-a

ne functions

quadratic support

Abstract

In this paper, we rst introduce the notion of c-a; ne 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-a; ne. Moreover, a Hyers-Ulam stability result for strongly convex functions is shown.

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APA: Copy

ABBASZADEH, S., & ESHAGHI GORDJI, M.. (2016). On the quadratic support of strongly convex functions. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 7(1), 15-20. SID. https://sid.ir/paper/340732/en

Vancouver: Copy

ABBASZADEH S., ESHAGHI GORDJI M.. On the quadratic support of strongly convex functions. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2016;7(1):15-20. Available from: https://sid.ir/paper/340732/en

IEEE: Copy

S. ABBASZADEH, and M. ESHAGHI GORDJI, “On the quadratic support of strongly convex functions,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 7, no. 1, pp. 15–20, 2016, [Online]. Available: https://sid.ir/paper/340732/en

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