Polynomial inequalities in regions with corners in theweighted Lebesgue spaces

DOI10.2298/FIL1718647AzbMath1499.30001OpenAlexW2795636069WikidataQ130034729 ScholiaQ130034729MaRDI QIDQ5019813

Fahreddin G. Abdullayev

Publication date: 11 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1718647a

zbMATH Keywords

orthogonal polynomialsconformal mappingalgebraic polynomialsquasicirclecmooth curve

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Related Items (2)

On the interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. II ⋮ On the growth of derivatives of algebraic polynomials in a weighted Lebesgue space

Cites Work

• On Nikol'skii-type inequalities with new characteristics
• Weighted polynomial inequalities in the complex plane
• On the boundary continuity of conformal maps
• On the convergence of the Bieberbach polynomials in regions with corners
• Comparing norms of polynomials in one and several variables
• On the sharp inequalities for orthonormal polynomials along a contour
• Interference of the weight and boundary contour for algebraic polynomials in weighted Lebesgue spaces. I
• On the behavior of algebraic polynomial in unbounded regions with piecewise Dini-smooth boundary
• On certain mean values of polynomials
• ON THE GROWTH OF ALGEBRAIC POLYNOMIALS IN THE WHOLE COMPLEX PLANE
• On Differentiability at the Boundary in Conformal Mapping
• Certain problems of closest approximation
• On the behavior of algebraic polynomials in regions with piecewise smooth boundary without cusps
• FUNDAMENTAL PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A CONTOUR
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