On integral inequalities involving differences

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摘要

For differences Δhkf of arbitrary order k with step h estimates of F(||Δkhf||Lp(a,a+αh)), α>0, via F(||Δkhf||Lp(a+αh,a+βh)) are obtained for certain functionals F and certain β>α.

论文关键词：26D10,Integral inequalities,Differences,Nikol'skii–Besov spaces

论文评审过程：Received 20 May 2003, Available online 20 March 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2004.01.007