On Fatou type convergence of higher derivatives of certain nonlinear singular integral operators
The present paper concerns with the Fatou type convergence properties of the \(r-th\) and \((r+1)-th\) derivatives of the nonlinear singular integral operators defined as \[ \left( I_{\lambda}f\right) (x)=\int\limits_{a}^{b}K_{\lambda}(t-x,f(t))\,{\rm d}t,\,\,\,\,\,\,\,x\in\left( a,b\right) , \]...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
2013-02-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/981 |