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• W2019417083 abstract "We establish some stability results in 2-normed spaces for the radical quadratic functional equation <svg style=vertical-align:-6.99733pt;width:421.65875px; id=M1 height=31.143749 version=1.1 viewBox=0 0 421.65875 31.143749 width=421.65875 xmlns=http://www.w3.org/2000/svg> <g transform=matrix(1.25,0,0,-1.25,0,31.14375)> <text transform=matrix(1,0,0,-1,0.498,8.436)> <tspan style=font-size: 12.50px; x=0 y=0>𝑓</tspan> <tspan style=font-size: 12.50px; x=6.9392314 y=0>(</tspan> </text> <text transform=matrix(1,0,0,-1,11.601,4.187)> <tspan style=font-size: 12.50px; x=0 y=0></tspan> </text> <g transform=translate(24.817,23.179)> <path d=M 0,0 71.918,0 style=fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none/> </g> <text transform=matrix(1,0,0,-1,24.817,8.411)> <tspan style=font-size: 12.50px; x=0 y=0>∑</tspan> </text> <text transform=matrix(1,0,0,-1,36.245,13.507)> <tspan style=font-size: 8.75px; x=0 y=0>𝑛</tspan> </text> <text transform=matrix(1,0,0,-1,36.245,4.22)> <tspan style=font-size: 8.75px; x=0 y=0>𝑖</tspan> <tspan style=font-size: 8.75px; x=2.7219155 y=0>=</tspan> <tspan style=font-size: 8.75px; x=8.7171316 y=0>1</tspan> </text> <text transform=matrix(1,0,0,-1,49.85,8.436)> <tspan style=font-size: 12.50px; x=0 y=0>(</tspan> <tspan style=font-size: 12.50px; x=4.1635389 y=0>𝑥</tspan> </text> <text transform=matrix(1,0,0,-1,60.891,5.31)> <tspan style=font-size: 8.75px; x=0 y=0>𝑖</tspan> </text> <text transform=matrix(1,0,0,-1,66.904,8.436)> <tspan style=font-size: 12.50px; x=0 y=0>+</tspan> <tspan style=font-size: 12.50px; x=11.34033 y=0>𝑦</tspan> </text> <text transform=matrix(1,0,0,-1,84.448,5.31)> <tspan style=font-size: 8.75px; x=0 y=0>𝑖</tspan> </text> <text transform=matrix(1,0,0,-1,87.683,8.436)> <tspan style=font-size: 12.50px; x=0 y=0>)</tspan> </text> <text transform=matrix(1,0,0,-1,91.846,12.199)> <tspan style=font-size: 8.75px; x=0 y=0>2</tspan> </text> <text transform=matrix(1,0,0,-1,96.735,8.436)> <tspan style=font-size: 12.50px; x=0 y=0>)</tspan> <tspan style=font-size: 12.50px; x=6.9392314 y=0>+</tspan> <tspan style=font-size: 12.50px; x=18.279562 y=0>𝑓</tspan> <tspan style=font-size: 12.50px; x=25.218794 y=0>(</tspan> </text> <text transform=matrix(1,0,0,-1,126.123,4.187)> <tspan style=font-size: 12.50px; x=0 y=0></tspan> </text> <g transform=translate(139.339,23.179)> <path d=M 0,0 71.918,0 style=fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none/> </g> <text transform=matrix(1,0,0,-1,139.339,8.411)> <tspan style=font-size: 12.50px; x=0 y=0>∑</tspan> </text> <text transform=matrix(1,0,0,-1,150.767,13.507)> <tspan style=font-size: 8.75px; x=0 y=0>𝑛</tspan> </text> <text transform=matrix(1,0,0,-1,150.767,4.22)> <tspan style=font-size: 8.75px; x=0 y=0>𝑖</tspan> <tspan style=font-size: 8.75px; x=2.7219155 y=0>=</tspan> <tspan style=font-size: 8.75px; x=8.7171316 y=0>1</tspan> </text> <text transform=matrix(1,0,0,-1,164.372,8.436)> <tspan style=font-size: 12.50px; x=0 y=0>(</tspan> <tspan style=font-size: 12.50px; x=4.1635389 y=0>𝑥</tspan> </text> <text transform=matrix(1,0,0,-1,175.413,5.31)> <tspan style=font-size: 8.75px; x=0 y=0>𝑖</tspan> </text> <text transform=matrix(1,0,0,-1,181.426,8.436)> <tspan style=font-size: 12.50px; x=0 y=0>−</tspan> <tspan style=font-size: 12.50px; x=11.34033 y=0>𝑦</tspan> </text> <text transform=matrix(1,0,0,-1,198.97,5.31)> <tspan style=font-size: 8.75px; x=0 y=0>𝑖</tspan> </text> <text transform=matrix(1,0,0,-1,202.205,8.436)> <tspan style=font-size: 12.50px; x=0 y=0>)</tspan> </text> <text transform=matrix(1,0,0,-1,206.368,12.199)> <tspan style=font-size: 8.75px; x=0 y=0>2</tspan> </text> <text transform=matrix(1,0,0,-1,211.257,8.436)> <tspan style=font-size: 12.50px; x=0 y=0>)</tspan> <tspan style=font-size: 12.50px; x=7.6269031 y=0>=</tspan> <tspan style=font-size: 12.50px; x=19.667408 y=0>2</tspan> </text> <text transform=matrix(1,0,0,-1,239.267,8.411)> <tspan style=font-size: 12.50px; x=0 y=0>∑</tspan> </text> <text transform=matrix(1,0,0,-1,250.695,13.507)> <tspan style=font-size: 8.75px; x=0 y=0>𝑛</tspan> </text> <text transform=matrix(1,0,0,-1,250.695,4.22)> <tspan style=font-size: 8.75px; x=0 y=0>𝑖</tspan> <tspan style=font-size: 8.75px; x=2.7219155 y=0>=</tspan> <tspan style=font-size: 8.75px; x=8.7171316 y=0>1</tspan> </text> <text transform=matrix(1,0,0,-1,264.301,8.436)> <tspan style=font-size: 12.50px; x=0 y=0>(</tspan> <tspan style=font-size: 12.50px; x=4.1635389 y=0>𝑓</tspan> <tspan style=font-size: 12.50px; x=11.102771 y=0>(</tspan> <tspan style=font-size: 12.50px; x=15.26631 y=0>𝑥</tspan> </text> <text transform=matrix(1,0,0,-1,286.444,5.31)> <tspan style=font-size: 8.75px; x=0 y=0>𝑖</tspan> </text> <text transform=matrix(1,0,0,-1,289.678,8.436)> <tspan style=font-size: 12.50px; x=0 y=0>)</tspan> <tspan style=font-size: 12.50px; x=6.9392314 y=0>+</tspan> <tspan style=font-size: 12.50px; x=18.279562 y=0>𝑓</tspan> <tspan style=font-size: 12.50px; x=25.218794 y=0>(</tspan> <tspan style=font-size: 12.50px; x=29.382332 y=0>𝑦</tspan> </text> <text transform=matrix(1,0,0,-1,325.268,5.31)> <tspan style=font-size: 8.75px; x=0 y=0>𝑖</tspan> </text> <text transform=matrix(1,0,0,-1,328.502,8.436)> <tspan style=font-size: 12.50px; x=0 y=0>)</tspan> <tspan style=font-size: 12.50px; x=4.1635389 y=0>)</tspan> </text> </g> </svg> and then use subadditive functions to prove its stability in <svg style=vertical-align:-2.29482pt;width:8.8874998px; id=M2 height=10.9975 version=1.1 viewBox=0 0 8.8874998 10.9975 width=8.8874998 xmlns=http://www.w3.org/2000/svg> <g transform=matrix(1.25,0,0,-1.25,0,10.9975)> <text transform=matrix(1,0,0,-1,0.498,2.786)> <tspan style=font-size: 12.50px; x=0 y=0>𝑝</tspan> </text> </g> </svg>-2-normed spaces." @default.
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• W2019417083 date "2012-01-01" @default.
• W2019417083 modified "2023-09-23" @default.
• W2019417083 title "Nearly Radical Quadratic Functional Equations in<i>p</i>-2-Normed Spaces" @default.
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