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Semicontinuity and Quasiconvex Functions |
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| Authors: | R. N. Mukherjee L. V. Reddy |
| Affiliation: | (1) Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India;(2) Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, India |
| Abstract: | Criteria are derived for quasiconvex functions under lower semicontinuity and upper semicontinuity conditions. The results thus obtained generalize earlier results for convex functions. We also give new conditions under which a given function is r-convex in the sense given by Avriel. |
| Keywords: | Lower semicontinuity upper semicontinuity quasiconvexity r-convexity |
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