Glasnik Matematicki, Vol. 37, No.1 (2002), 83-88.

INTEGRAL INEQUALITIES FOR POLYNOMIALS HAVING A ZERO OF ORDER m AT THE ORIGIN

V. K. Jain

Mathematics Department, I.I.T., Kharagpur - 721302, India


Abstract.   For a polynomial p(z) of degree n, it holds the Zygmund's inequality. We have obtained inequalities in the reverse direction for the polynomials having a zero of order m at the origin.

2000 Mathematics Subject Classification.   30C10, 30A10.

Key words and phrases.   Inequalities, zero of order m, polynomials.


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