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Examines the differences of positive linear operators in approximation theory, indicating their effectiveness in estimating approximations.
In the present paper, we deal with the general quantitative estimates for the differences of recently defined composition positive linear operators (p.l.o.) by Gupta with the most representative operators used in approximation theory. The differences of these composition operators with various other available composition operators and Sz?sz operators of Durrmeyer type have been studied. The estimates for the differences of operators having: ? different basis functions but same functional ? different basis functions and different functionals ? same basis function but different functionals are calculated. Further the theoretical results are verified using numerical examples. Moreover the quantitative estimates in terms of weighted modulus of continuity have also been discussed.
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Kaur et al. (2025) studied this question.
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