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On Bleimann-Butzer-Hahn operators for exponential functions

Published online by Cambridge University Press:  17 April 2009

Ulrich Abel  and
Mircea Ivan
Ulrich Abel
Affiliation:
Fachhochschule Giessen-Friedberg, University of Applied Sciences, Fachbereich MND, 61169 Friedberg, Germany
Mircea Ivan
Affiliation:
Department of Mathematics, Technical University of Cluj-Napoca, 400020 Cluj-Napoca, Romania
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Some inequalities involving the binomial coefficients are obtained. They are used to determine the domain of convergence of the Bleimann, Butzer and Hahn approximation process for exponential type functions. An answer to Hermann's conjecture related to the Bleimann, Butzer and Hahn operators for monotone functions is given.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 75 , Issue 3 , June 2007 , pp. 409 - 415
Copyright
Copyright © Australian Mathematical Society 2007

References

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