Inequalities Based on Sobolev Representations by George A. Anastassiou
By George A. Anastassiou
Inequalities according to Sobolev Representations offers solely with very normal tight quintessential inequalities of Chebyshev-Grüss, Ostrowski varieties and of imperative skill, all of which depend on the Sobolev essential representations of features. Applications illustrate inequalities that have interaction in usual and susceptible partial derivatives of the concerned services. This ebook additionally derives very important estimates for the averaged Taylor polynomials and remainders of Sobolev vital representations. The effects are tested in all instructions and during either univariate and multivariate instances. This ebook is appropriate for researchers, graduate scholars, and seminars in subareas of mathematical research, inequalities, partial differential equations and data thought.
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