On the strong-Riesz mean-value theorem.
Bruce L.R. Shawyer (1979)
Journal für die reine und angewandte Mathematik
Al-Madi, Azmi K. (1988)
International Journal of Mathematics and Mathematical Sciences
Ali M. Sarigöl, Hüseyin Bor (1993)
Mathematica Slovaca
Seyhan, H., Sönmez, A. (1997)
Portugaliae Mathematica
Bor, H., Debnath, L. (2004)
International Journal of Mathematics and Mathematical Sciences
Ferenc Weisz (2006)
Banach Center Publications
Some recent results on spline-Fourier and Ciesielski-Fourier series are summarized. The convergence of spline Fourier series and the basis properties of the spline systems are considered. Some classical topics, that are well known for trigonometric and Walsh-Fourier series, are investigated for Ciesielski-Fourier series, such as inequalities for the Fourier coefficients, convergence a.e. and in norm, Fejér and θ-summability, strong summability and multipliers. The connection between Fourier series...
Dikshit, H.P., Fridy, J.A. (1992)
International Journal of Mathematics and Mathematical Sciences
Ferenc Weisz (2011)
Banach Center Publications
Four basic results of Marcinkiewicz are presented in summability theory. We show that setting out from these theorems many mathematicians have reached several nice results for trigonometric, Walsh- and Ciesielski-Fourier series.
Cihan Orhan, Ö. Çakar (1996)
Czechoslovak Mathematical Journal
Mursaleen, M., Edely, Osama H.H. (2003)
International Journal of Mathematics and Mathematical Sciences
Mohammad Mursaleen, Osama Edely, Aiman Mukheimer (2004)
Mathematica Slovaca
B. Kuttner, B. Thorpe (1979)
Journal für die reine und angewandte Mathematik
Ferenc Weisz (2004)
Studia Mathematica
A strong summability result is proved for the Ciesielski-Fourier series of integrable functions. It is also shown that the strong maximal operator is of weak type (1,1).
Z. U. Ahmad (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
R.N. Mohapatra, G. Das (1975)
Monatshefte für Mathematik
Lee Peng Yee (1981)
Colloquium Mathematicae
P. Chandra (1973)
Publications de l'Institut Mathématique [Elektronische Ressource]
R. K. Jain (1971)
Colloquium Mathematicae
Lech Drewnowski, Pedro J. Paúl (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
P.A. Jeyarajan (1974)
Publications de l'Institut Mathématique [Elektronische Ressource]