New integral inequalities for iterated integrals with applications.

Agarwal, Ravi P.; Ryoo, Cheon Seoung; Kim, Young-Ho

Displaying similar documents to “New integral inequalities for iterated integrals with applications.”

Some nonlinear weakly singular integral inequalities with two variables and applications.

Wang, Hong, Zheng, Kelong (2010)

Journal of Inequalities and Applications [electronic only]

Similarity:

A necessary and sufficient condition for uniqueness of solutions of singular differential inequalities.

Lair, Alan V. (1990)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Two-point boundary value problems for higher-order linear differential equations with strong singularities.

Agarwal, R.P., Kiguradze, I. (2006)

Boundary Value Problems [electronic only]

Similarity:

Linear integral inequalities

Miloš Ráb (1979)

Archivum Mathematicum

Similarity:

On Lyapunov-type inequalities for two-dimensional nonlinear partial systems.

Chen, Lian-Ying, Zhao, Chang-Jian, Cheung, Wing-Sum (2010)

Journal of Inequalities and Applications [electronic only]

Similarity:

A new nonlinear retarded integral inequality and its application.

Wang, Wu-Sheng, Luo, Ri-Cai, Li, Zizun (2010)

Journal of Inequalities and Applications [electronic only]

Similarity:

Lyapunov inequalities for one-dimensional $p$ -Laplacian problems with a singular weight function.

Sim, Inbo, Lee, Yong-Hoon (2010)

Journal of Inequalities and Applications [electronic only]

Similarity:

Inequalities for the Riemann–Stieltjes Integral of under the Chord Functions with Applications

Silvestru S. Dragomir (2014)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Similarity:

We say that the function $f : [a, b] \to ℝ$ is under the chord if $\frac{(b - t) f (a) + (t - a) f (b)}{b - a} \geq f (t)$ for any $t \in [a, b]$ . In this paper we proved amongst other that $\int_{a}^{b} u (t) d f (t) \geq \frac{f (b) - f (a)}{b - a} \int_{a}^{b} u (t) d t$ provided that $u : [a, b] \to ℝ$ is monotonic nondecreasing and $f : [a, b] \to ℝ$ is continuous and under the chord. Some particular cases for the weighted integrals in connection with the Fejér inequalities are provided. Applications for continuous functions of selfadjoint operators on Hilbert spaces are also given.