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Notice that problem (4.1) falls inside our framework with the following choices: begin{aligned}& I= biggl[0,frac{pi}{4} biggr],qquad I_= biggl[-frac{pi}{2},0 biggr], qquad I_= biggl[frac{pi}{4},frac{pi}{2} biggr],qquad tilde{I}= biggl[-frac{pi }{2},frac{pi}{2} biggr], & f x,gamma,u,v =Gamma(gamma) biggl{ f_{1} u)+ biggl[ frac {1}{sqrt {x}} biggr] v^{2} biggr}, & phi_{1}(x)=phi_{2}(x)=cos(x).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com