The order of magnitude of the arithmetic means of double orthogonal series |
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Authors: | Ferenc Móricz |
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Institution: | (1) Bolyai Institute, University of Szeged, Aradi VértanÚk Tere 1, 6720 Szeged, Hungary |
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Abstract: | ![kcy](/content/l87v031757l43786/xxlarge1082.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Bcy](/content/l87v031757l43786/xxlarge1041.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Bcy](/content/l87v031757l43786/xxlarge1041.gif) ![SHCHcy](/content/l87v031757l43786/xxlarge1065.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Mcy](/content/l87v031757l43786/xxlarge1052.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) , ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![softcy](/content/l87v031757l43786/xxlarge1100.gif) ![SHCHcy](/content/l87v031757l43786/xxlarge1065.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![lcy](/content/l87v031757l43786/xxlarge1083.gif) ![Ucy](/content/l87v031757l43786/xxlarge1059.gif) ![CHcy](/content/l87v031757l43786/xxlarge1063.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Mcy](/content/l87v031757l43786/xxlarge1052.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![ycy](/content/l87v031757l43786/xxlarge1099.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![gcy](/content/l87v031757l43786/xxlarge1075.gif) -![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![lcy](/content/l87v031757l43786/xxlarge1083.gif) ![softcy](/content/l87v031757l43786/xxlarge1100.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![ycy](/content/l87v031757l43786/xxlarge1099.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![softcy](/content/l87v031757l43786/xxlarge1100.gif) ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) , ![pcy](/content/l87v031757l43786/xxlarge1087.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![lcy](/content/l87v031757l43786/xxlarge1083.gif) ![Ucy](/content/l87v031757l43786/xxlarge1059.gif) ![CHcy](/content/l87v031757l43786/xxlarge1063.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![tscy](/content/l87v031757l43786/xxlarge1094.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![pcy](/content/l87v031757l43786/xxlarge1087.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![softcy](/content/l87v031757l43786/xxlarge1100.gif) ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![kcy](/content/l87v031757l43786/xxlarge1082.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) (C, 1,1), (C, 1,0) (C, 0,1)-![scy](/content/l87v031757l43786/xxlarge1089.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![lcy](/content/l87v031757l43786/xxlarge1083.gif) ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![Vcy](/content/l87v031757l43786/xxlarge1042.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![ycy](/content/l87v031757l43786/xxlarge1099.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![gcy](/content/l87v031757l43786/xxlarge1075.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![lcy](/content/l87v031757l43786/xxlarge1083.gif) ![softcy](/content/l87v031757l43786/xxlarge1100.gif) ![ycy](/content/l87v031757l43786/xxlarge1099.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![softcy](/content/l87v031757l43786/xxlarge1100.gif) ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) . ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![lcy](/content/l87v031757l43786/xxlarge1083.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![CHcy](/content/l87v031757l43786/xxlarge1063.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![kcy](/content/l87v031757l43786/xxlarge1082.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![zhcy](/content/l87v031757l43786/xxlarge1078.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![lcy](/content/l87v031757l43786/xxlarge1083.gif) ![softcy](/content/l87v031757l43786/xxlarge1100.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![Vcy](/content/l87v031757l43786/xxlarge1042.gif) ![Ucy](/content/l87v031757l43786/xxlarge1059.gif) ![pcy](/content/l87v031757l43786/xxlarge1087.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![softcy](/content/l87v031757l43786/xxlarge1100.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Ucy](/content/l87v031757l43786/xxlarge1059.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![gcy](/content/l87v031757l43786/xxlarge1075.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Mcy](/content/l87v031757l43786/xxlarge1052.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![gcy](/content/l87v031757l43786/xxlarge1075.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![zhcy](/content/l87v031757l43786/xxlarge1078.gif) ![Ucy](/content/l87v031757l43786/xxlarge1059.gif) ![lcy](/content/l87v031757l43786/xxlarge1083.gif) ![softcy](/content/l87v031757l43786/xxlarge1100.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) , ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![Vcy](/content/l87v031757l43786/xxlarge1042.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![lcy](/content/l87v031757l43786/xxlarge1083.gif) ![Ucy](/content/l87v031757l43786/xxlarge1059.gif) ![CHcy](/content/l87v031757l43786/xxlarge1063.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![pcy](/content/l87v031757l43786/xxlarge1087.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![khcy](/content/l87v031757l43786/xxlarge1093.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![kcy](/content/l87v031757l43786/xxlarge1082.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![zhcy](/content/l87v031757l43786/xxlarge1078.gif) ![ycy](/content/l87v031757l43786/xxlarge1099.gif) ![Vcy](/content/l87v031757l43786/xxlarge1042.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![softcy](/content/l87v031757l43786/xxlarge1100.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![pcy](/content/l87v031757l43786/xxlarge1087.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![Mcy](/content/l87v031757l43786/xxlarge1052.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![pcy](/content/l87v031757l43786/xxlarge1087.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Bcy](/content/l87v031757l43786/xxlarge1041.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![zhcy](/content/l87v031757l43786/xxlarge1078.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Vcy](/content/l87v031757l43786/xxlarge1042.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![Bcy](/content/l87v031757l43786/xxlarge1041.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![lcy](/content/l87v031757l43786/xxlarge1083.gif) , ![Vcy](/content/l87v031757l43786/xxlarge1042.gif) ![Mcy](/content/l87v031757l43786/xxlarge1052.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![gcy](/content/l87v031757l43786/xxlarge1075.gif) ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![shcy](/content/l87v031757l43786/xxlarge1096.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![zhcy](/content/l87v031757l43786/xxlarge1078.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![CHcy](/content/l87v031757l43786/xxlarge1063.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![pcy](/content/l87v031757l43786/xxlarge1087.gif) ![lcy](/content/l87v031757l43786/xxlarge1083.gif) ![softcy](/content/l87v031757l43786/xxlarge1100.gif) ![zhcy](/content/l87v031757l43786/xxlarge1078.gif) ![Ucy](/content/l87v031757l43786/xxlarge1059.gif) ![Ucy](/content/l87v031757l43786/xxlarge1059.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Bcy](/content/l87v031757l43786/xxlarge1041.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![zhcy](/content/l87v031757l43786/xxlarge1078.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Bcy](/content/l87v031757l43786/xxlarge1041.gif) ![SHCHcy](/content/l87v031757l43786/xxlarge1065.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) . ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![kcy](/content/l87v031757l43786/xxlarge1082.gif) -![zhcy](/content/l87v031757l43786/xxlarge1078.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![kcy](/content/l87v031757l43786/xxlarge1082.gif) ![zhcy](/content/l87v031757l43786/xxlarge1078.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Ucy](/content/l87v031757l43786/xxlarge1059.gif) ![lcy](/content/l87v031757l43786/xxlarge1083.gif) ![Ucy](/content/l87v031757l43786/xxlarge1059.gif) ![CHcy](/content/l87v031757l43786/xxlarge1063.gif) ![shcy](/content/l87v031757l43786/xxlarge1096.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Mcy](/content/l87v031757l43786/xxlarge1052.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![pcy](/content/l87v031757l43786/xxlarge1087.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![lcy](/content/l87v031757l43786/xxlarge1083.gif) ![Ucy](/content/l87v031757l43786/xxlarge1059.gif) ![CHcy](/content/l87v031757l43786/xxlarge1063.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![ycy](/content/l87v031757l43786/xxlarge1099.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![tscy](/content/l87v031757l43786/xxlarge1094.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![kcy](/content/l87v031757l43786/xxlarge1082.gif) ![lcy](/content/l87v031757l43786/xxlarge1083.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![Vcy](/content/l87v031757l43786/xxlarge1042.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) ![Dcy](/content/l87v031757l43786/xxlarge1044.gif) ![Vcy](/content/l87v031757l43786/xxlarge1042.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![ycy](/content/l87v031757l43786/xxlarge1099.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Ocy](/content/l87v031757l43786/xxlarge1054.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![Mcy](/content/l87v031757l43786/xxlarge1052.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![Rcy](/content/l87v031757l43786/xxlarge1056.gif) ![Vcy](/content/l87v031757l43786/xxlarge1042.gif) ![Acy](/content/l87v031757l43786/xxlarge1040.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![Ncy](/content/l87v031757l43786/xxlarge1053.gif) ![ycy](/content/l87v031757l43786/xxlarge1099.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![Icy](/content/l87v031757l43786/xxlarge1048.gif) ![scy](/content/l87v031757l43786/xxlarge1089.gif) ![tcy](/content/l87v031757l43786/xxlarge1090.gif) ![IEcy](/content/l87v031757l43786/xxlarge1045.gif) .
Dedicated to Academician S. M. Nikol'skii on his 80th birthday |
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