Note on a class of operators on infinite interval




Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania


Gamma operator; Feller type operator; beta distribution; random variable; expectation

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O. Agratini, Note on a class of operators on infinite interval, Demonstratio Mathematica, 32 (1999) no. 4, pp. 789-794.


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Demonstratio Matematica

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[1] J. A. Adell and F. G. Badia, Beta-type operators preserve shape properties, Stochastic Process. Appl. 48 (1993), 1-8.

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[3] J. A. Adell, J. de la Cal and M. San Miguel, Inverse beta and generalized Blei-mann-Butzer-Hahn operators, J. Approx. Theory 76 (1994), 54-64.

[4] W. Feller, An Introduction to Probability Theory and its Applications, Vol. II, Wiley, New-York, 1966.

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[7] D. D. Stancu, On the beta approximating operators of second kind, Rev. Anal. Numer. Theor. Approx. 24 (1995), 1-2, 231-239.


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