<svg     style="vertical-align:-4.626pt;width:13.4125px;" id="M1" height="17.5" version="1.1" viewBox="0 0 13.4125 17.5" width="13.4125"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,11.675)"><path id="x1D45D" d="M570 304q0 -108 -87 -199q-40 -42 -94.5 -74t-105.5 -43q-41 0 -65 11l-29 -141q-9 -45 -1.5 -58t45.5 -16l26 -2l-5 -29l-241 -10l4 26q51 10 67.5 24t26.5 60l113 520q-54 -20 -89 -41l-7 26q38 28 105 53l11 49q20 25 77 58l8 -7l-17 -77q39 14 102 14q82 0 119 -36
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</svg>-Uniform Convexity and <svg     style="vertical-align:-4.626pt;width:11.125px;" id="M2" height="15.925" version="1.1" viewBox="0 0 11.125 15.925" width="11.125"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,10.1)"><path id="x1D45E" d="M474 429q-19 -69 -47 -222l-65 -347q-8 -49 0 -60t49 -16l26 -3l-4 -26l-246 -12l4 25l17 3q37 6 50 20.5t23 60.5l67 321h-2q-65 -79 -150 -138q-69 -47 -104 -47q-28 0 -48.5 32t-20.5 81q0 78 35 148t90 117q67 57 161 77q23 5 58 5q43 0 90 -15zM387 387
q-30 16 -75 16q-58 0 -92 -27q-49 -39 -78.5 -112t-29.5 -136q0 -34 8.5 -52.5t21.5 -18.5q40 0 109.5 63.5t103.5 115.5q16 53 32 151z" /></g>

		
	
</svg>-Uniform Smoothness of Absolute Normalized Norms on <svg     style="vertical-align:-0.27pt;width:24.799999px;" id="M3" height="21.1875" version="1.1" viewBox="0 0 24.799999 21.1875" width="24.799999"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,20.788)"><path id="x2102" d="M708 165q-34 -105 -63 -154q-134 -26 -204 -26q-99 0 -177.5 29t-125 77t-70.5 105.5t-24 119.5q0 157 120 253t307 96q40 0 79.5 -5t76.5 -13.5t40 -8.5l23 -151l-33 -7q-23 80 -72 114.5t-142 34.5q-79 0 -123.5 -86t-44.5 -207q0 -140 49 -227.5t125 -87.5
q84 0 133 36.5t94 117.5q6 -2 17.5 -5.5t14.5 -4.5zM313 50q-81 98 -81 286q0 175 79 267q-79 -35 -122 -107.5t-43 -159.5q0 -99 44.5 -174t122.5 -112z" /></g>

			<g transform="matrix(.016,-0,0,-.016,16.588,10.025)"><path id="x32" d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" /></g>

		
	
</svg>

Abstract and Applied Analysis

fig1

Figure 1

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			<g transform="matrix(.022,-0,0,-.022,.062,11.675)"><path id="x1D45D" d="M570 304q0 -108 -87 -199q-40 -42 -94.5 -74t-105.5 -43q-41 0 -65 11l-29 -141q-9 -45 -1.5 -58t45.5 -16l26 -2l-5 -29l-241 -10l4 26q51 10 67.5 24t26.5 60l113 520q-54 -20 -89 -41l-7 26q38 28 105 53l11 49q20 25 77 58l8 -7l-17 -77q39 14 102 14q82 0 119 -36
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</svg>-Uniform Convexity and <svg     style="vertical-align:-4.626pt;width:11.125px;" id="M2" height="15.925" version="1.1" viewBox="0 0 11.125 15.925" width="11.125"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,10.1)"><path id="x1D45E" d="M474 429q-19 -69 -47 -222l-65 -347q-8 -49 0 -60t49 -16l26 -3l-4 -26l-246 -12l4 25l17 3q37 6 50 20.5t23 60.5l67 321h-2q-65 -79 -150 -138q-69 -47 -104 -47q-28 0 -48.5 32t-20.5 81q0 78 35 148t90 117q67 57 161 77q23 5 58 5q43 0 90 -15zM387 387
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</svg>-Uniform Smoothness of Absolute Normalized Norms on <svg     style="vertical-align:-0.27pt;width:24.799999px;" id="M3" height="21.1875" version="1.1" viewBox="0 0 24.799999 21.1875" width="24.799999"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,20.788)"><path id="x2102" d="M708 165q-34 -105 -63 -154q-134 -26 -204 -26q-99 0 -177.5 29t-125 77t-70.5 105.5t-24 119.5q0 157 120 253t307 96q40 0 79.5 -5t76.5 -13.5t40 -8.5l23 -151l-33 -7q-23 80 -72 114.5t-142 34.5q-79 0 -123.5 -86t-44.5 -207q0 -140 49 -227.5t125 -87.5
q84 0 133 36.5t94 117.5q6 -2 17.5 -5.5t14.5 -4.5zM313 50q-81 98 -81 286q0 175 79 267q-79 -35 -122 -107.5t-43 -159.5q0 -99 44.5 -174t122.5 -112z" /></g>

			<g transform="matrix(.016,-0,0,-.016,16.588,10.025)"><path id="x32" d="M412 140l28 -9q0 -2 -35 -131h-373v23q112 112 161 170q59 70 92 127t33 115q0 63 -31 98t-86 35q-75 0 -137 -93l-22 20l57 81q55 59 135 59q69 0 118.5 -46.5t49.5 -122.5q0 -62 -29.5 -114t-102.5 -130l-141 -149h186q42 0 58.5 10.5t38.5 56.5z" /></g>

		
	
</svg> 

Abstract and Applied Analysis

-Uniform Convexity and -Uniform Smoothness of Absolute Normalized Norms on

Figure 1