On differences of linear positive operators
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In this paper we consider two different general linear positive operators defined on unbounded interval and obtain estimates for the differences of these operators in quantitative form. Our estimates involve an appropriate K-functional and a weighted modulus of smoothness. Similar estimates are obtained for Chebyshev functional of these operators as well. All considerations are based on rearrangement of the remainder in Taylor’s formula. The obtained results are applied for some well known linear positive operators.
KeywordsK-functionals Weighted moduli of smoothness Chebyshev functional
Mathematics Subject ClassificationPrimary 41A36 Secondary 41A25
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Conflict of interest
The authors declare that they have no conflict of interest.
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