Über die Konvergenz der Orthogonalpolynomreihe einer Funktion mit beschränkter Variation
Géza Freud (1965)
Archivum Mathematicum
Harnack (1878)
Mathematische Annalen
Michael Felten (2007)
Open Mathematics
Exact conditions for α, β, a, b > −1 and 1 ≤ p ≤ ∞ are determined under which the inclusion property ⊂ is valid. It is shown that the conditions characterize the inclusion property. The paper concludes with some results, in which the inclusion property can be detected in relation with estimates of Jacobi differential operators and with Muckenhoupt’s transplantation theorems and multiplier theorems for Jacobi series.
Damien Roy (2001)
Journal de théorie des nombres de Bordeaux
On démontre une formule d’interpolation pour une fonction de deux variables complexes qui tient compte des valeurs de cette fonction ainsi que de ses dérivées partielles par rapport à en des points d’un sous-groupe de de rang . On explique préalablement comment, dans les grandes lignes, une telle formule permet de ramener la conjecture de Schanuel à un énoncé dont la forme est celle d’un critère d’indépendance algébrique.
Saff, E.B., Varga, R.S. (1978)
International Journal of Mathematics and Mathematical Sciences
Petrosyan, A.I. (2007)
Acta Mathematica Universitatis Comenianae. New Series
Willi Freeden, Peter Hermann (1986)
Mathematische Zeitschrift
Jan Mycielski, Stanisław Świerczkowski (1996)
Studia Mathematica
We show several theorems on uniform approximation of functions. Each of them is based on the choice of a special reproducing kernel in an appropriate Hilbert space. The theorems have a common generalization whose proof is founded on the idea of the Kaczmarz projection algorithm.
Matušů, Josef, Novák, Josef, Matušů, Martin (1996)
Mathematica Pannonica
Milan Práger (1979)
Aplikace matematiky
A universal optimal in order approximation of a general functional in the space of continuous periodic functions is constructed and its fundamental properties and some generalizations are investigated. As an application the approximation of singular integrals is considered and illustrated by numerical results.
M. REIMER (1971)
Numerische Mathematik
Saaban, Azizan, Majid, Ahmad Abd, Piah, Abd Rahni Mt (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
A. Sharma, Z. Ziegler (1984)
Studia Mathematica
Portilla, Ana, Quintana, Yamilet, Rodriguez, Jose M., Touris, Eva (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Jiří Veselý (2002)
Pokroky matematiky, fyziky a astronomie
Edmund Hlawka (1979)
Monatshefte für Mathematik
Krebsz, A. (2004)
Mathematica Pannonica
Parvanov, Parvan E. (2011)
Mathematica Balkanica New Series
AMS classification: 41A36, 41A10, 41A25, 41Al7.
Balázs, Katherine, Kilgore, Theodore (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
James E. Brennan (1985)
Journal für die reine und angewandte Mathematik