An approximation process of Kantorovich type


The paper is devoted to the study of an approximation process on an unbounded interval representing an integral form in Kantorovich sense of K. Balazs operators. We establish the degree of approximation in some function spaces pointing out the relationship between the local smoothness of functions and the local approximation. By using the modulus of variation, the approximation property in discontinuity points is also examined.


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


Kantorovich-type operator, Bohman-Korovkin theorem, modulus of smoothness of first order, modulus of variation, local Lipα (0 < α ≤ 1)

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O. Agratini, An approximation process of Kantorovich type, Miskolc Mathematical Notes, 2 (2001) no. 1, 3-10.


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Miskolc Mathematica Notes

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