Strong Cesàro \(| C,1,1| \) summability and statistical convergence of double orthogonal series

DOI10.1007/S10476-017-0107-7zbMath1399.40009OpenAlexW2591338602MaRDI QIDQ1705789

Ferenc Móricz

Publication date: 16 March 2018

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-017-0107-7

zbMATH Keywords

statistical convergenceregular convergencedouble orthogonal seriespointwise convergence in Pringsheim's senseKronecker lemma for double sequencesstrong Cesàro \(| C,1,1| \) summability

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and divergence of series and sequences of functions (40A30) Summability in several variables (42B08) Absolute and strong summability (40F05)

Related Items (1)

Generalized Cesàro summability of Fourier series and its applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some remarks on the notion of regular convergence of multiple series
• On the convergence in a restricted sense of multiple series
• Statistical convergence of multiple sequences
• On the A. E. Convergence of the Arithmetic Means of Double Orthogonal Series
• THE STATISTICAL AND STRONG p-CESARO CONVERGENCE OF SEQUENCES
• The Kronecker lemmas for multiple series and some applications
• On Double Orthogonal Series
• Sur la convergence statistique

This page was built for publication: Strong Cesàro \(| C,1,1| \) summability and statistical convergence of double orthogonal series