On the approximation by rational combinations of a class of functions |
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Authors: | Xue Yinchuan Hou Xiangqian |
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Affiliation: | (1) Department of Mathematics, Ningxia University, Yinchuan, Ningxia, People's Republic of China |
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Abstract: | ![Pcy](/content/pl528v35gh311v24/xxlarge1055.gif) ![ucy](/content/pl528v35gh311v24/xxlarge1091.gif) ![scy](/content/pl528v35gh311v24/xxlarge1089.gif) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![softcy](/content/pl528v35gh311v24/xxlarge1100.gif) ( ) [0,1] — ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![iecy](/content/pl528v35gh311v24/xxlarge1077.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![rcy](/content/pl528v35gh311v24/xxlarge1088.gif) ![tscy](/content/pl528v35gh311v24/xxlarge1094.gif) ![acy](/content/pl528v35gh311v24/xxlarge1072.gif) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![iecy](/content/pl528v35gh311v24/xxlarge1077.gif) ![lcy](/content/pl528v35gh311v24/xxlarge1083.gif) ![softcy](/content/pl528v35gh311v24/xxlarge1100.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![acy](/content/pl528v35gh311v24/xxlarge1072.gif) ![kcy](/content/pl528v35gh311v24/xxlarge1082.gif) ![ucy](/content/pl528v35gh311v24/xxlarge1091.gif) ![scy](/content/pl528v35gh311v24/xxlarge1089.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![chcy](/content/pl528v35gh311v24/xxlarge1095.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![scy](/content/pl528v35gh311v24/xxlarge1089.gif) ![rcy](/content/pl528v35gh311v24/xxlarge1088.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![gcy](/content/pl528v35gh311v24/xxlarge1075.gif) ![mcy](/content/pl528v35gh311v24/xxlarge1084.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![acy](/content/pl528v35gh311v24/xxlarge1072.gif) ![fcy](/content/pl528v35gh311v24/xxlarge1092.gif) ![ucy](/content/pl528v35gh311v24/xxlarge1091.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![kcy](/content/pl528v35gh311v24/xxlarge1082.gif) ![tscy](/content/pl528v35gh311v24/xxlarge1094.gif) ![icy](/content/pl528v35gh311v24/xxlarge1080.gif) { (n)} — ![pcy](/content/pl528v35gh311v24/xxlarge1087.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![scy](/content/pl528v35gh311v24/xxlarge1089.gif) ![lcy](/content/pl528v35gh311v24/xxlarge1083.gif) ![iecy](/content/pl528v35gh311v24/xxlarge1077.gif) ![dcy](/content/pl528v35gh311v24/xxlarge1076.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![vcy](/content/pl528v35gh311v24/xxlarge1074.gif) ![acy](/content/pl528v35gh311v24/xxlarge1072.gif) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![iecy](/content/pl528v35gh311v24/xxlarge1077.gif) ![lcy](/content/pl528v35gh311v24/xxlarge1083.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![scy](/content/pl528v35gh311v24/xxlarge1089.gif) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![dcy](/content/pl528v35gh311v24/xxlarge1076.gif) ![iecy](/content/pl528v35gh311v24/xxlarge1077.gif) ![jcy](/content/pl528v35gh311v24/xxlarge1081.gif) ![scy](/content/pl528v35gh311v24/xxlarge1089.gif) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![vcy](/content/pl528v35gh311v24/xxlarge1074.gif) ![icy](/content/pl528v35gh311v24/xxlarge1080.gif) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![iecy](/content/pl528v35gh311v24/xxlarge1077.gif) ![lcy](/content/pl528v35gh311v24/xxlarge1083.gif) ![softcy](/content/pl528v35gh311v24/xxlarge1100.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![chcy](/content/pl528v35gh311v24/xxlarge1095.gif) ![icy](/content/pl528v35gh311v24/xxlarge1080.gif) ![scy](/content/pl528v35gh311v24/xxlarge1089.gif) ![iecy](/content/pl528v35gh311v24/xxlarge1077.gif) , ![scy](/content/pl528v35gh311v24/xxlarge1089.gif) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![rcy](/content/pl528v35gh311v24/xxlarge1088.gif) ![iecy](/content/pl528v35gh311v24/xxlarge1077.gif) ![mcy](/content/pl528v35gh311v24/xxlarge1084.gif) ![yacy](/content/pl528v35gh311v24/xxlarge1103.gif) ![shchcy](/content/pl528v35gh311v24/xxlarge1097.gif) ![icy](/content/pl528v35gh311v24/xxlarge1080.gif) ![khcy](/content/pl528v35gh311v24/xxlarge1093.gif) ![scy](/content/pl528v35gh311v24/xxlarge1089.gif) + . ![rcy](/content/pl528v35gh311v24/xxlarge1088.gif) ![acy](/content/pl528v35gh311v24/xxlarge1072.gif) ![bcy](/content/pl528v35gh311v24/xxlarge1073.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![pcy](/content/pl528v35gh311v24/xxlarge1087.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![kcy](/content/pl528v35gh311v24/xxlarge1082.gif) ![acy](/content/pl528v35gh311v24/xxlarge1072.gif) ![zcy](/content/pl528v35gh311v24/xxlarge1079.gif) ![acy](/content/pl528v35gh311v24/xxlarge1072.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) , ![chcy](/content/pl528v35gh311v24/xxlarge1095.gif) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![ucy](/content/pl528v35gh311v24/xxlarge1091.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![kcy](/content/pl528v35gh311v24/xxlarge1082.gif) ![tscy](/content/pl528v35gh311v24/xxlarge1094.gif) ![icy](/content/pl528v35gh311v24/xxlarge1080.gif) f(x) ![epsi](/content/pl528v35gh311v24/xxlarge949.gif) [0,1] ![mcy](/content/pl528v35gh311v24/xxlarge1084.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![zhcy](/content/pl528v35gh311v24/xxlarge1078.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![kcy](/content/pl528v35gh311v24/xxlarge1082.gif) ![acy](/content/pl528v35gh311v24/xxlarge1072.gif) ![ucy](/content/pl528v35gh311v24/xxlarge1091.gif) ![gcy](/content/pl528v35gh311v24/xxlarge1075.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![dcy](/content/pl528v35gh311v24/xxlarge1076.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![khcy](/content/pl528v35gh311v24/xxlarge1093.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![rcy](/content/pl528v35gh311v24/xxlarge1088.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![shcy](/content/pl528v35gh311v24/xxlarge1096.gif) ![acy](/content/pl528v35gh311v24/xxlarge1072.gif) ![pcy](/content/pl528v35gh311v24/xxlarge1087.gif) ![pcy](/content/pl528v35gh311v24/xxlarge1087.gif) ![rcy](/content/pl528v35gh311v24/xxlarge1088.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![scy](/content/pl528v35gh311v24/xxlarge1089.gif) ![icy](/content/pl528v35gh311v24/xxlarge1080.gif) ![mcy](/content/pl528v35gh311v24/xxlarge1084.gif) ![icy](/content/pl528v35gh311v24/xxlarge1080.gif) ![rcy](/content/pl528v35gh311v24/xxlarge1088.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![vcy](/content/pl528v35gh311v24/xxlarge1074.gif) ![acy](/content/pl528v35gh311v24/xxlarge1072.gif) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![rcy](/content/pl528v35gh311v24/xxlarge1088.gif) ![acy](/content/pl528v35gh311v24/xxlarge1072.gif) ![tscy](/content/pl528v35gh311v24/xxlarge1094.gif) ![icy](/content/pl528v35gh311v24/xxlarge1080.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![acy](/content/pl528v35gh311v24/xxlarge1072.gif) ![lcy](/content/pl528v35gh311v24/xxlarge1083.gif) ![softcy](/content/pl528v35gh311v24/xxlarge1100.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![ycy](/content/pl528v35gh311v24/xxlarge1099.gif) ![mcy](/content/pl528v35gh311v24/xxlarge1084.gif) ![kcy](/content/pl528v35gh311v24/xxlarge1082.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![mcy](/content/pl528v35gh311v24/xxlarge1084.gif) ![bcy](/content/pl528v35gh311v24/xxlarge1073.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![acy](/content/pl528v35gh311v24/xxlarge1072.gif) ![tscy](/content/pl528v35gh311v24/xxlarge1094.gif) ![icy](/content/pl528v35gh311v24/xxlarge1080.gif) ![yacy](/content/pl528v35gh311v24/xxlarge1103.gif) ![mcy](/content/pl528v35gh311v24/xxlarge1084.gif) ![fcy](/content/pl528v35gh311v24/xxlarge1092.gif) ![ucy](/content/pl528v35gh311v24/xxlarge1091.gif) ![ncy](/content/pl528v35gh311v24/xxlarge1085.gif) ![kcy](/content/pl528v35gh311v24/xxlarge1082.gif) ![tscy](/content/pl528v35gh311v24/xxlarge1094.gif) ![icy](/content/pl528v35gh311v24/xxlarge1080.gif) ![jcy](/content/pl528v35gh311v24/xxlarge1081.gif) ( ) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![lcy](/content/pl528v35gh311v24/xxlarge1083.gif) ![softcy](/content/pl528v35gh311v24/xxlarge1100.gif) ![kcy](/content/pl528v35gh311v24/xxlarge1082.gif) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![scy](/content/pl528v35gh311v24/xxlarge1089.gif) ![lcy](/content/pl528v35gh311v24/xxlarge1083.gif) ![ucy](/content/pl528v35gh311v24/xxlarge1091.gif) ![chcy](/content/pl528v35gh311v24/xxlarge1095.gif) ![acy](/content/pl528v35gh311v24/xxlarge1072.gif) , ![kcy](/content/pl528v35gh311v24/xxlarge1082.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![gcy](/content/pl528v35gh311v24/xxlarge1075.gif) ![dcy](/content/pl528v35gh311v24/xxlarge1076.gif) ![dcy](/content/pl528v35gh311v24/xxlarge1076.gif) ![lcy](/content/pl528v35gh311v24/xxlarge1083.gif) ![lcy](/content/pl528v35gh311v24/xxlarge1083.gif) ![yucy](/content/pl528v35gh311v24/xxlarge1102.gif) ![bcy](/content/pl528v35gh311v24/xxlarge1073.gif) ![ycy](/content/pl528v35gh311v24/xxlarge1099.gif) x1,x2 [0, 1], ![kcy](/content/pl528v35gh311v24/xxlarge1082.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![tcy](/content/pl528v35gh311v24/xxlarge1090.gif) ![ocy](/content/pl528v35gh311v24/xxlarge1086.gif) ![rcy](/content/pl528v35gh311v24/xxlarge1088.gif) ![ycy](/content/pl528v35gh311v24/xxlarge1099.gif) ( 1)= ( 2), ![icy](/content/pl528v35gh311v24/xxlarge1080.gif) ![mcy](/content/pl528v35gh311v24/xxlarge1084.gif) ![iecy](/content/pl528v35gh311v24/xxlarge1077.gif) ![iecy](/content/pl528v35gh311v24/xxlarge1077.gif) f(x1)=f(x2). |
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