INTEGRAL INEQUALITIES FOR THE POLAR DERIVATIVE OF A POLYNOMIAL

N. A. Rather, A. Iqbal, H. G. Hyun

Abstract


In this paper, we present a refinement of the (1.14) inequality valid for 0 ≤ p < ∞ and obtain a bound that depends on some of the coefficients of the polynomial as well. Analogous result for the class of polynomials having no zero in |z| > k, k ≤ 1 is also obtained.


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ISSN: 1229-1595 (Print), 2466-0973 (Online)

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