Approximation theorems for double orthogonal series

DOI10.1016/0021-9045(84)90030-3zbMath0545.41023OpenAlexW4210438409MaRDI QIDQ797070

Ferenc Móricz

Publication date: 1984

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90030-3

zbMATH Keywords

rectangular partial sumsarithmetic meansdouble orthonormal system

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items

Approximation theorems for double orthogonal series. II, Strong approximation by rectangular partial sums of double orthogonal series, Rate of approximation by rectangular partial sums of double orthogonal series, Some uses if cumulants in wavelet analysis, Rate of convergence of multiple orthogonal series

Cites Work

• On the convergence in a restricted sense of multiple series
• On the A. E. Convergence of the Arithmetic Means of Double Orthogonal Series
• The Kronecker lemmas for multiple series and some applications
• Moment inequalities and the strong laws of large numbers
• On Double Orthogonal Series
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item