Search results for "differences of operators"

showing 2 items of 2 documents

Modified Operators Interpolating at Endpoints

2021

Some classical operators (e.g., Bernstein) preserve the affine functions and consequently interpolate at the endpoints. Other classical operators (e.g., Bernstein–Durrmeyer) have been modified in order to preserve the affine functions. We propose a simpler modification with the effect that the new operators interpolate at endpoints although they do not preserve the affine functions. We investigate the properties of these modified operators and obtain results concerning iterates and their limits, Voronovskaja-type results and estimates of several differences.

General MathematicsOrder (ring theory)iteratesIterated functionMarkov operatorsComputer Science (miscellaneous)QA1-939Applied mathematicsdifferences of operatorsAffine transformationEngineering (miscellaneous)MathematicsMathematicsVoronovskaja-type resultsMathematics
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Estimates for the Differences of Certain Positive Linear Operators

2020

The present paper deals with estimates for differences of certain positive linear operators defined on bounded or unbounded intervals. Our approach involves Baskakov type operators, the kth order Kantorovich modification of the Baskakov operators, the discrete operators associated with Baskakov operators, Meyer&ndash

estimates of differences of operatorsPure mathematicslcsh:MathematicsGeneral Mathematics010102 general mathematicsLinear operatorsMKZ-operatorsBBH-operatorsType (model theory)lcsh:QA1-93901 natural sciencesModulus of continuity010101 applied mathematicsKantorovich modificationsBaskakov operatorBounded functionBaskakov operatorsComputer Science (miscellaneous)Order (group theory)0101 mathematicsEngineering (miscellaneous)positive linear operatorsMathematicsMathematics
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