Companion theorems to G. Szegö's inequality for pairs of coefficients of bounded polynomials

DOI10.1007/s10998-014-0019-2zbMath1299.26038OpenAlexW2079158427MaRDI QIDQ2453818

Heinz-Joachim Rack

Publication date: 10 June 2014

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-014-0019-2

zbMATH Keywords

estimatecoefficientextremal (points, polynomial, problem)inequality (Chebyshev, Markov, Shohat, Szegö)pair of coefficientspolynomial (bounded, Chebyshev, Rogosinski)

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for trigonometric functions and polynomials (26D05)

Cites Work

• Polynomials with large partial sums
• The theory of best approximation of functions
• Über die Koeffizientensummen einiger Klassen von Potenzreihen
• On a Problem of Turán about Polynomials II
• Certain extremal problems for polynomials
• On Pairs of Coefficients of Bounded Polynomials
• An extremal property of Chebyshev polynomials
• Some remarks on polynomials
• Some Elementary Inequalities for Polynomials
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