\(L_{p}\) Boundedness of \((C,1)\) means of the generalized series of the second kind for Levin-Lubinsky weights

DOI10.1007/s40315-015-0138-7zbMath1329.41003OpenAlexW2470405185MaRDI QIDQ902202

H. P. Mashele

Publication date: 7 January 2016

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40315-015-0138-7

zbMATH Keywords

Hilbert transformorthonormal polynomialsexponential weightsfunctions of the second kind\((C,1)\) means

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Cites Work

• Unnamed Item
• Functions of the second kind for Freud weights and series expansions of Hilbert transforms
• The generalized functions of the second kind for general exponential weights
• A New Class of Orthogonal Polynomials
• The Associated Ultraspherical Polynomials and their _q-Analogues
• Noninterpolatory Integration Rules for Cauchy Principal Value Integrals
• Orthogonal polynomials for exponential weights

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