Korovkin Sets and Mean Ergodic Theorems

References

1. F. Altomare, M. Campiti: Korovkin-type Approximation Theory and its Applications, Walter de Gruyter, Berlin-New York, 1994.https://doi.org/10.1515/9783110884586Google Scholar
2. K. Donner: Extension of Positive Operators and Korovkin Theorems, Lecture Notes in Math. 904, Springer Verlag, Berlin et al., 1982.https://doi.org/10.1007/BFb0094133Google Scholar
3. L. B. O. Ferguson, M. D. Rusk: Korovkin sets for an operator on a space of continuous functions, Pacific J. Math. 65 (1976) 337-345.https://doi.org/10.2140/pjm.1976.65.337Google Scholar
4. P. P. Korovkin: Linear Operators and Approximation Theory, Hindustan Publ. Corp., Delhi, 1960.Google Scholar
5. U. Krengel: Ergodic Theorems, Walter de Gruyter, Berlin-New York, 1985.https://doi.org/10.1515/9783110844641Google Scholar
6. R. Larsen: Functional Analysis, Marcel Dekker, Inc., New York, 1973.Google Scholar
7. T. Nishishiraho: Saturation of iterations of bounded linear operators, Hokkaido Math. J. 18 (1989) 273-284.https://doi.org/10.14492/hokmj/1381517764Google Scholar
8. T. Nishishiraho: Approximation processes with respect to positive multiplication operators, Comput. Math. Appl. 30 (1995) 389-408.https://doi.org/10.1016/0898-1221(95)00115-8Google Scholar
9. T. Nishishiraho: The order of convergence for positive approximation processes, Ryukyu Math. J. 8 (1995) 43-82.Google Scholar
10. R. Sine: Geometric theory of a single Markov operator, Pacific J. Math. 27 (1968), 155-166.https://doi.org/10.2140/pjm.1968.27.155Google Scholar
11. R. Sine: A mean ergodic theorem, Proc. Amer. Math. Soc. 24 (1970) 438-439.https://doi.org/10.1090/S0002-9939-1970-0252605-XGoogle Scholar