Iterates of Bernstein Type Operators on a Triangle with All Curved Sides

<table>Triangle <svg height="19.4375" id="M32" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 19.450001 19.4375" width="19.450001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.712,11.1)"><path d="M658 624q-60 -84 -176 -84q-59 0 -166 25q-89 21 -140 21q-80 0 -159 -54l-17 25q75 84 184 84q57 0 158 -26q100 -20 151 -20q87 0 148 54z" id="xF5C12"></path></g><g transform="matrix(.017,-0,0,-.017,.063,15.163)"><path d="M649 676l-22 -187l-33 -2q3 56 -12 94q-8 20 -31.5 26.5t-86.5 6.5h-74l-90 -491q-4 -23 -6 -36.5t1 -25t7 -16.5t18 -9t27 -5t41 -3l-6 -28h-286l4 28q68 5 84 18.5t28 76.5l94 491h-55q-74 0 -100.5 -6t-41.5 -23q-24 -29 -54 -98l-32 1q32 98 53 188h22q7 -18 15 -22
t37 -4h417q23 0 33.5 5t25.5 21h23z" id="x1D447"></path></g>
<g transform="matrix(.012,-0,0,-.012,12.625,19.238)"><path d="M499 88q-41 -46 -83.5 -73t-68.5 -27q-41 0 -19 98l52 225q10 43 8 59.5t-16 16.5q-37 0 -112 -65t-117 -135q-14 -42 -38 -179q-36 -7 -75 -20l-7 8l127 594q8 40 2.5 49t-35.5 9h-35l5 25q36 3 71.5 13t56.5 18t25 8q11 0 3 -38l-88 -417h2q77 102 195 167q44 24 79 24
q61 0 30 -130l-52 -220q-8 -33 4 -33q8 0 31 14.5t43 33.5z" id="x210E"></path></g>
</svg>.</table>

Abstract and Applied Analysis

fig1

Figure 1

Figure 1: Iterates of Bernstein Type Operators on a Triangle with All Curved Sides 