EMIS ELibM Electronic Journals Publications de l’Institut Mathématique, Nouvelle Série
Vol. 100[114], No. 1/1, pp. 209–227 (2016)

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POLYNOMIAL INEQUALITIES IN LAVRENTIEV REGIONS WITH INTERIOR AND EXTERIOR ZERO ANGLES IN THE WEIGHTED LEBESGUE SPACE

F. G. Abdullayev, N. P. Özkartepe

Mersin University, Faculty of Arts and Science, Department of Mathematics, Mersin, Turkey

Abstract: We study estimation of the modulus of algebraic polynomials in the bounded and unbounded regions with piecewise-quasismooth boundary, having interior and exterior zero angles, in the weighted Lebesgue space.

Keywords: algebraic polynomials; Nikol’skii-type inequalities; quasismooth curve

Classification (MSC2000): 30A10;30C10;30C62;30E10;41A17

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Electronic fulltext finalized on: 8 Nov 2016. This page was last modified: 14 Nov 2016.

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