| Title:
|
Uniform modular integrability and convergence properties for a class of Urysohn integral operators in function spaces (English) |
| Author:
|
Bardaro, Carlo |
| Author:
|
Mantellini, Ilaria |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
56 |
| Issue:
|
4 |
| Year:
|
2006 |
| Pages:
|
465-482 |
| . |
| Category:
|
math |
| . |
| MSC:
|
41A35 |
| MSC:
|
46E30 |
| MSC:
|
47G10 |
| idZBL:
|
Zbl 1141.41006 |
| idMR:
|
MR2267767 |
| . |
| Date available:
|
2009-09-25T14:34:14Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129460 |
| . |
| Reference:
|
[1] BARDARO C.-MANTELLINI I.: A modular convergence theorem for nonlinear integral operators.Comment. Math. Prace Mat. 36 (1996), 27-37. MR 1427818 |
| Reference:
|
[2] BARDARO C.-MANTELLINI I.: On a singularity concept for kernels of nonlinear integral operators.Int. Math. J. 1 (2002), 239-254. Zbl 0982.47033, MR 1840601 |
| Reference:
|
[3] BARDARO C.-MANTELLINI I.: On approximation properties of Urysohn integral operators.Int. J. Pure Appl. Math. 3 (2002), 129-148. Zbl 1012.41017, MR 1937645 |
| Reference:
|
[4] BARDARO C.-MANTELLINI I.: Approximation properties in abstract modular spaces for a class of general sampling type operators.Appl. Anal. 85 (2006), 383-413. Zbl 1089.41012, MR 2196677 |
| Reference:
|
[5] BARDARO C.-MUSIELAK J.-VINTI G.: On absolute continuity of a modular connected with strong summability.Comment. Math. Prace Mat. 34 (1994), 21-33. Zbl 0832.46020, MR 1325071 |
| Reference:
|
[6] BARDARO C.-MUSIELAK J.-VINTI G.: Nonlinear Integral Operators and Applications.de Gruyter Ser. Nonlinear Anal. Appl. 9, de Gruyter, Berlin, 2003. Zbl 1030.47003, MR 1994699 |
| Reference:
|
[7] BUTZER P. L.-NESSEL R. J.: Fourier Analysis and Approximation I.Academic Press, New York-London, 1971. MR 0510857 |
| Reference:
|
[8] KOZLOWSKI W. M.: Modular Function Spaces.Pure and Applied Math. 122, Marcel Dekker, New York-Basel, 1988. Zbl 0747.46022, MR 1474499 |
| Reference:
|
[9] MANTELLINI I.: Generalized sampling operators in modular spaces.Comment. Math. Prace Mat. 38 (1998), 77-92. Zbl 0984.47025, MR 1672252 |
| Reference:
|
[10] MANTELLINI I.-VINTI G.: Approximation results for nonlinear integral operators in modular spaces and applications.Ann. Polon. Math. 46 (2003), 55-71. Zbl 1019.41013, MR 1977761 |
| Reference:
|
[11] MUSIELAK J.: Orlicz Spaces and Modular Spaces.Lecture Notes in Math. 1034. Springer-Verlag, New York, 1983. Zbl 0557.46020, MR 0724434 |
| Reference:
|
[12] MUSIELAK J.: Nonlinear approximation in some modular function spaces I.Math. Japon. 38 (1993), 83-90. Zbl 0779.46017, MR 1204187 |
| Reference:
|
[13] WILLARD S.: General Topology Addison-Wesley Series in Math..Addison Wesley Publ. Comp., Reading, MA, 1970. MR 0264581 |
| . |
