Abstract
AbstractWe consider positive linear operators of probabilistic typeL1facting on real functionsfdefined on the positive semi-axis. We deal with the problem of uniform convergence ofL1ftof, both in the usual sup-norm and in a uniformLptype of norm. In both cases, we obtain direct and converse inequalities in terms of a suitable weighted first modulus of smoothness off. These results are applied to the Baskakov operator and to a gamma operator connected with real Laplace transforms, Poisson mixtures and Weyl fractional derivatives of Laplace transforms.
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Schedule a callMore From: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
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