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On the asymptotic behaviour of linear combinations of Mellin‐Picard type operators
Authors:Ilaria Mantellini
Institution:University of Perugia, Department of Mathematics and Computer Science, , Perugia, Italy
Abstract:Here we give a Voronovskaja formula for linear combination of Mellin‐Picard type convolution operators urn:x-wiley:dummy:mana201100248:equation:mana201100248-math-0001 where urn:x-wiley:dummy:mana201100248:equation:mana201100248-math-0002 is the Mellin‐Picard kernel. This approach provides a better order of pointwise approximation.
Keywords:Mellin‐Picard convolution operators  moments  K‐functional  Voronovskaja formula  41A35  41A25  47G10
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