Interference of the Weight and Boundary Contour for Algebraic Polynomials in Weighted Lebesgue Spaces. I

Interference of the Weight and Boundary Contour for Algebraic Polynomials in Weighted Lebesgue Spaces. I

We study the order of height for the modulus of arbitrary algebraic polynomials with respect to weighted Lebesgue spaces in which the contour and weight functions have certain singularities.

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Veröffentlicht in:Ukrainian mathematical journal 2017-03, Vol.68 (10), p.1574-1590
Hauptverfasser: Özkartepe, P., Abdullayev, F. G.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Contours
Functions (mathematics)
Geometry
Mathematical analysis
Mathematics
Mathematics and Statistics
Polynomials
Shape
Singularity (mathematics)
Statistics
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Beschreibung
Zusammenfassung:We study the order of height for the modulus of arbitrary algebraic polynomials with respect to weighted Lebesgue spaces in which the contour and weight functions have certain singularities.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-017-1313-y