Titlebook: Inequalities Involving Functions and Their Integrals and Derivatives; D. S. Mitrinovi?,J. E. Pe?ari?,A. M. Fink Book 1991 Springer Science

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LARK

同步左右

Inequalities of Gronwall Type of a Single Variable,T. Gronwall [.] in 1919 proved the following result: . 1. ....

組裝

合群

大廳

Inequalities of Bernstein-Mordell Type,If a real polynomial ..(.=..+...+...+.... reaches the value of 1 anywhere on the segment [-1,1], then . Except for an obvious error, this relation has been obtained by S. N. Bernstein [.].

custody

Methods of Proofs for Integral Inequalities,In this Chapter we give a number of different methods for proofs of various integro-differential inequalities, with emphasis on the more elementary methods.

颶風(fēng)

Particular Inequalities,This Chapter is devoted to various unconnected results which do not easily relate to the types we have presented in the previous chapters. A derivative or integral of a function of one or two variables appear in each inequality of this Chapter.

深陷

,Hilbert’s and Related Inequalities,tions, and a proof was published by H. Weyl [1] in his dissertation in 1908. The exact value 7r of the constant (which is best possible) was given by I. Schur [2]. He also gave an integral analogue of (1.1).

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