L$^q$ inequalities for the ${s^{th}}$ derivative of a polynomial

author

  • Ahmad Zireh Department of Mathematics, Shahrood University of Technology, Shahrood, Iran
Abstract:

Let $f(z)$ be an analytic function on the unit disk ${zinmathbb{C}, |z|leq 1}$, for each $q>0$, the $|f|_{q}$ is defined as followsbegin{align*}begin{split}&left|fright|_q:=left{frac{1}{2pi}int_0^{2pi}left|f(e^{itheta})right|^qdthetaright}^{1/q}, 0

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Journal title

volume 8  issue 2

pages  355- 362

publication date 2017-12-01

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