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On the Sharpness of Estimates in Terms of Averages
Author(s) -
Dickmeis W.,
Nessel R. J.,
Van Wickeren E.
Publication year - 1984
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.3211170122
Subject(s) - mathematics , moduli , inequality , mathematical analysis , calculus (dental) , medicine , physics , dentistry , quantum mechanics
Continuing our previous investigations on quantitative uniform boundedness and condensation principles, this note is concerned with the sharpness of error bounds in those cases where, for a given process, the bounds are given in terms of averages (integral means) of a second process. A typical example is supplied by the familiar Marchaud inequality for moduli of continuity of different orders.
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