2.7.E25

MaRDI QIDQ889

• Label: 2.7.E25

Digital Library of Mathematical Functions ID 2.7.E25

${\displaystyle{\displaystyle\mathcal{V}_{a_{j},x}\left(F\right)=\int_{a_{j}}^{x}\left|\left(\frac{1}{f^{1/4}(t)}\frac{{\mathrm{d}}^{2}}{{\mathrm{d}t}^{2}}\left(\frac{1}{f^{1/4}(t)}\right)-\frac{g(t)}{f^{1/2}(t)}\right)\mathrm{d}t\right|.}}$

Symbols List

• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\mathcal{V}_{\NVar{a,b}}\left(\NVar{f}\right)}}$: total variation
• ${\displaystyle{\displaystyle(a_{1},a_{2})}}$: interval
• ${\displaystyle{\displaystyle F}}$: error-control function
 

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