The Journal of the Indian Mathematical Society

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Certain Interesting Implications of Arestov's Integral Inequalities for Polynomials


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1 Mathematics Department, I. I. T., Kharagpur - 721 302, India
     

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Using one of Arestov's integral inequalities for polynomials we have obtained a generalization of Rahman and Schmeisser's result on polynomial inequalities and using Arestov's another integral inequality we have obtained a generalization of previously used Arestov's inequality. Certain other related results have also been suggested.

Keywords

Generalization, Integral Inequalities, Polynomials with Zeros on or Outside the Unit Circle, Polynomials with Zeros in or on the Unit Circle.
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  • Certain Interesting Implications of Arestov's Integral Inequalities for Polynomials

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Authors

V. K. Jain
Mathematics Department, I. I. T., Kharagpur - 721 302, India

Abstract


Using one of Arestov's integral inequalities for polynomials we have obtained a generalization of Rahman and Schmeisser's result on polynomial inequalities and using Arestov's another integral inequality we have obtained a generalization of previously used Arestov's inequality. Certain other related results have also been suggested.

Keywords


Generalization, Integral Inequalities, Polynomials with Zeros on or Outside the Unit Circle, Polynomials with Zeros in or on the Unit Circle.