"Inequalities based on Sobolev Representations" deals
exclusively with very general tight integral inequalities of
Chebyshev-Gruss, Ostrowski types and of integral means, all of
which depend upon the Sobolev integral representations of
functions. Applicationsillustrate inequalities that engage in
ordinary and weak partial derivatives of the involved functions.
This book also derives important estimates for the averaged Taylor
polynomials and remainders of Sobolev integral representations. The
results are examined in all directions and through both univariate
and multivariate cases. This book is suitable for researchers,
graduate students, and seminars in subareas of mathematical
analysis, inequalities, partial differential equations and
information theory. "
General
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