#### 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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