A sufficient condition for asymptotically well behaved property of convex polynomials |
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| Institution: | 1. College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074, People''s Republic of China;2. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia;3. Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India;4. Center for General Education, China Medical University, Taichung 40402, Taiwan |
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| Abstract: | In this paper, we employ an asymptotic assumption to show that the maximum of finitely many convex polynomials is an asymptotically well behaved function. We also give two examples to illustrate our main result. As an application, we reproduce some known results appeared recently in the literature. |
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| Keywords: | Asymptotically well behaved property Convex polynomial Recession function Error bound |
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