Inner product and Gegenbauer polynomials in Sobolev space

DOI10.20310/2686-9667-2022-27-138-150-163OpenAlexW4285413682MaRDI QIDQ5867593

Mohamed-Ahmed Boudref

Publication date: 14 September 2022

Published in: Russian Universities Reports. Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtamu253

zbMATH Keywords

Sobolev spaceinner productGegenbauer polynomials

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (1)

Hermite functions and inner product in Sobolev space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polynomials orthogonal in the Sobolev sense, generated by Chebyshev polynomials orthogonal on a mesh
• Approximation of functions of variable smoothness by Fourier-Legendre sums
• Sobolev-orthogonal systems of functions associated with an orthogonal system
• Sobolev-Orthonormal System of Functions Generated by the System of Laguerre Functions
• Approximation properties of mixed series in terms of Legendre polynomials on the classes $ {W^r}$

This page was built for publication: Inner product and Gegenbauer polynomials in Sobolev space