Titlebook: Classical and New Inequalities in Analysis; D. S. Mitrinovi?,J. E. Pe?ari?,A. M. Fink Book 1993 Springer Science+Business Media Dordrecht

甜得發(fā)膩

LIMIT

Profile-Based Selection of Expert GroupsGeneral linear inequalities are old inequalities. We are not sure who is the author of such inequalities. So we shall given here only some basic facts about such inequalities but only for monotonic functions and some related results.

獨(dú)裁政府

Profile-Based Selection of Expert GroupsLet us consider the problem of the best approximation of a vector . by vectors of an orthonormal system from a Hilbert space .. For every system of numbers λ.,...,λ. we have

Omnipotent

Enervate

Metadata repositories using PICS,The triangle inequality for real and complex numbers are basic and appear in any analysis book.

VEN

https://doi.org/10.1007/978-3-319-67008-9In this Chapter we look at inequalities for norms which are related to the triangle inequality. Several of these are attached to the names, e.g. Clarkson’s, Dunkl-Williams’ and Hlawka’s.

avenge

https://doi.org/10.1007/978-3-319-67008-9H. Xu and Z. Xu [.] claimed the following inequality in . . (1 < . < 2):.where . ∈ . ., 0 ≤ . ≤ 1, λ = 1 ? ., in the case when the function . is given by .(.) = . λ(. ? 1).

ticlopidine

,Convex Functions and Jensen’s Inequality,In this Chapter we give some introductory material and basic inequalities which are repeatedly used. We will begin with convex functions and Jensen’s inequality.

漂亮才會(huì)豪華

旋轉(zhuǎn)一周

,Bernoulli’s Inequality,If . > ?1 and if . is a positive integer, then