Abstract:Let $D$ be a Carath\'eodory domain. For \text {$1\leq p\leq \infty $}, let $L^p(D)$ be the class of all functions $f$ holomorphic in $D$ such that $\|f\|_{D,p}=[\frac {1}{A}\int \int _{D}^{}|f(z)|^p dx dy]^{1/p}<\INFTY SET \PI WE _N} AT THE OF POLYNOMIALS $\PI TERMS APPROXIMATION STUDY PAPER FOR GROWTH FUNCTION E_N^P(F)="\inf" ON AREA AN THIS WHERE _{T\IN IS $D$. L^P(D)$, _N$ ERROR \|F-T\|_{D,P} MOST ENTIRE ALL $, DEGREE $$
Keywords: approximation error, generalized parameters, $L^p$ norm and Fourier coefficients
AMS Subject Classification: Primary 30D15; Secondary 30E10