Forward diffusion equations and positive operators

Mathematische Zeitschrift

Volumn 225, Issue 2, 1997, Pages 211-229

  Altomare, Francesco ^a   Attalienti, Antonio ^a  

^a UNIVERSITY OF BARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040350296     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004306     Document Type: Article

References (13)

1. Altomare, F.: Lototsky-Schnabl operators on the unit interval. C. R. Acad. Sci., Paris, Sér. I 313 (6), 371-375 (1991)
2. Altomare, F.: Lototsky-Schnabl operators on the unit interval and degenerate diffusion equations. In: Progress in Functional Analysis, K.D. Bierstedt, J. Bonet, J. Horvath and M. Maestre (Eds.), Proceedings of the International Functional Analysis Meeting on the Occasion of the Sixtieth Birthday of Professor M. Valdivia (Peñiscola, Spain, October, 21-27, 1990), North Holland Mathematics Studies 170, 259-277, North Holland Amsterdam, 259-277 (1992)
3. Altomare, F., Campiti, M.: Korovkin-type Approximation Theory and Applications. (de Gruyter Series Studies in Mathematics 17) Berlin New York: Walter de Gruyter & Co. 1994
4. Butzer, P.L., Berens, H.: Semi-groups of Operators and Approximation. (Grundlehren Math. Wiss., Bd. 145) Berlin Heidelberg New York: Springer 1967
5. DeVore, R.A.: The Approximation of Continuous Functions by Positive Linear Operators. (Lect. Notes Math. 293) Berlin Heidelberg New York: Springer 1972
6. Freud, G.: On approximation by positive linear methods II. Studia Sci. Math. Hungar. 3, 365-370 (1968)
7. Gonska, H.H.: Quantitative Korovkin type theorems on simultaneous approximation. Math. Z. 186, 419-433 (1984)
8. Lorentz, G.G., Schumaker, L.L.: Saturation of positive operators. J. Approximation Theory 5, 413-424 (1972)
9. Nagel, R. ed.: One-Parameter Semigroups of Positive Operators. (Lect. Notes Math. 1184) Berlin Heidelberg NewYork Tokyo: Springer 1986
10. Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations. Berlin: Springer 1983
11. Rasa, I.: On the monotonicity of sequences of Bernstein-Schnabl operators. Math., Rev. Anal. Numér. Théor. Approximation, Anal. Numér. Théor. Approximation 17 (2), 185-187 (1988)
12. Schnabl, R.: Zum globalen Saturationsproblem der Folge der Bernsteinoperatoren. Acta Math. Szeged 31 (3-4), 351-358 (1970)
13. Taira, K.: Diffusion Processes and Partial Differential Equations. Boston San Diego London Tokyo: Academic Press 1988