Download E-books Inequalities Based on Sobolev Representations (SpringerBriefs in Mathematics) PDF

By George A. Anastassiou

Inequalities according to Sobolev Representations bargains completely with very basic tight vital inequalities of Chebyshev-Grüss, Ostrowski forms and of necessary potential, all of which rely on the Sobolev critical representations of features.  Applications illustrate inequalities that interact in usual and susceptible partial derivatives of the concerned features. This ebook additionally derives very important estimates for the averaged Taylor polynomials and remainders of Sobolev crucial representations.  The effects are tested in all instructions and during either univariate and multivariate situations. This booklet is appropriate for researchers, graduate scholars, and seminars in subareas of mathematical research, inequalities, partial differential equations and data conception.

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