Differences of positive linear operators and the second order modulus


Heiner GonskaIoan Raşa


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Differences of (sequences of) positive linear operators and their limiting behavior are considered in this note. Special emphasis is on the use of second order moduli of smoothness. We thus are able to give, among other things, improved Voronovskaya-type inequalities. All considerations are based on another look at the remainder in Taylor’s formula.

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Gonska, Heiner, Raşa, Ioan