Approximation of Kantorovich-type max-product q-Bernstein operators
-
Sezin Cit
,
Carmen Violeta Muraru
and
Ogün Dogru
Abstract
In this article, we show that the approximation order of Kantorovich-type max-product Bernstein operators can be improved. We are able to obtain a better approximation order for q-Bernstein operators. In addition, we present a Kantorovich-type generalization of max-product operators based on q-integers. In particular, we find the approximation order (via the classical modulus of continuity) of the Kantorovich-type max-product q-Bernstein operator.
Dedicated to Professor Octavian Agratini on the occasion of his 65-th birthday, with high esteem
Acknowledgements
The authors sincerely thank the referees for their valuable comments and helpful suggestions and the editors for their efforts in managing the review process.
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