𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Grüss-Type Inequalities

✍ Scribed by Xin Li; R.N Mohapatra; R.S Rodriguez


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
97 KB
Volume
267
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


A connection between Grüss inequality and the error of best approximation is revealed. A Grüss-type inequality that unifies the continuous and discrete versions of the classical Grüss inequalities is established.  2002 Elsevier Science (USA)


📜 SIMILAR VOLUMES


On Grüss Type Inequalities for Double In
✍ B.G. Pachpatte 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 64 KB

We establish two new inequalities of Grüss type involving functions of two independent variables. The analysis used in the proofs is elementary and our results provide new estimates on inequalities of this type.  2002 Elsevier Science (USA)

A Grüss Type Discrete Inequality in Inne
✍ S.S. Dragomir 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 123 KB

Fourier transform, Mellin transform of sequences, polynomials with coefficients in Hilbert spaces, and Lipschitzian vector valued mappings are given. ᮊ 2000 Aca- demic Press

Landau's Type Inequalities
✍ John M. Rassias 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 204 KB

Ž 4 . hold for every x g D A . Inequalities are established also for uniformly bounded strongly continuous semigroups, groups, and cosine functions.

Martingales, Poincaré Type Inequalities,
✍ Michael Schmuckenschläger 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 354 KB

Using martingale techniques we will prove several deviation inequalities for diffusion processes in a compact Riemannian manifold and Le vy processes in euclidean space. We also deduce deviation inequalities from Poincare type inequalities in the abstract setting of Dirichlet forms. We thus obtain,

Some Hardy-Type Inequalities
✍ Wing-Sum Cheung; Željko Hanjš; Josip Pečarić 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 100 KB

In this paper, some new Hardy-type inequalities involving many functions are obtained. These on the one hand generalize and on the other hand improve some existing results by Isumi and Isumi, Levinson, and Pachpatte on this famous type of inequalities.