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On Hadamard-Type Inequalities for Co--ordinated r-Convex Functions
r− Convex Hadamard-Type Inequalities Co–ordinates
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2010/12/9
In this paper we defined r−convexity on the coordinates and we established some Hadamard-Type Inequalities.
Epi-Distance Convergence of Parametrised Sums of Convex Functions in Non-Reflexive Spaces
Epi-Distance Convergence Parametrised Sums Convex Functions Non-Reflexive Spaces
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2009/1/13
A weakened set of conditions is established for the epi-distance convergence of a sum $\{f_v+g_v\}_{v\in W}$ of parametrised closed convex functions $\{f_v\}_{v\in W}$ and $\{g_v\}_{v\in W}$ for $v\to...
Subsets on which Boundedness of Convex Functions Implicit Continuity
Convex function Boundedness Continuity Banach space
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2007/12/12
To guarantee every real-valued convex function bounded above on a set is continuous, how ''thick'' should the set be? For a symmetric set $\mathbf{A}$ in a Banach space $E$, the answer of this paper i...