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A newly introduced one-parameter class of positive linear operators successfully links Bernstein operators with their genuine Bernstein-Durrmeyer variants, providing a recursion formula for moments and estimates for simultaneous approximation of derivatives. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions

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