By George A. Anastassiou
Inequalities according to Sobolev Representations bargains completely with very normal tight vital inequalities of Chebyshev-Grüss, Ostrowski kinds and of quintessential skill, all of which depend on the Sobolev vital representations of capabilities. Applications illustrate inequalities that interact in usual and vulnerable partial derivatives of the concerned features. This booklet 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 e-book is acceptable for researchers, graduate scholars, and seminars in subareas of mathematical research, inequalities, partial differential equations and knowledge idea.
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Inequalities Based on Sobolev Representations (SpringerBriefs in Mathematics) by George A. Anastassiou