𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Some Integral Inequalities and Their Applications

✍ Scribed by Lechosław Hącia


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
122 KB
Volume
206
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


Some variants of two-dimensional integral inequalities, so-called inequalities of the Volterra᎐Fredholm type, are considered. In particular, generalizations of the Gronwall inequality are obtained. These results are applied to study the boundedness, stability and uniqueness of the solutions of some integral equations and their systems.


📜 SIMILAR VOLUMES


On Some New Nonlinear Delay Integral Ine
✍ Qing-Hua Ma; En-Hao Yang 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 105 KB

Some new nonlinear delay integral inequalities of Ou-Iang type are obtained Ž which generalise some results of B. G.

Inequalities for Trigonometric Polynomia
✍ Hans-Bernd Knoop; Xinlong Zhou 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 122 KB

Some inequalities associated with the Laplacian for trigonometric polynomials are given, which will be applied to investigate the behavior in approximation by trigonometric polynomials in higher dimensions and the best lower and upper estimates for some linear operators. In particular, we obtain a c

On Some Generalizations of Hardy's Integ
✍ B.G. Pachpatte 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 435 KB

In this paper we establish some new generalizations of the Hardy's inequality by using a fairly elementary analysis. The inequalities given here contain in the special cases, some of the recent generalizations of Hardy's integral inequality appearing in the literature.