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Cesaro Summability and Marchaud Inequality
Authors:F Dai  Z Ditzian
Institution:(1) Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canada
Abstract:For Fourier expansions it will be shown that sharp Marchaud-type inequalities follow from the positivity of the Cesaro summability of some order. Some results of sharp Marchaud-type will be derived using this method when other known methods cannot be used.
Keywords:Positive Cesaro summability  Sharp Marchaud inequalities  Multipliers  K-Functionals
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