The generalized Hardy operator with kernel and variable integral limits in Banach function spaces.

Gogatishvili, A.; Lang, J.

Displaying similar documents to “The generalized Hardy operator with kernel and variable integral limits in Banach function spaces.”

Weighted norm inequalities for integral operators and related topics

Stepanov, Vladimir D.

Similarity:

Jensen type inequalities involving homogeneous polynomials.

Wen, Jia-Jin, Zhang, Zhi-Hua (2010)

Journal of Inequalities and Applications [electronic only]

Similarity:

On the existence of monotone solutions for second-order non-convex differential inclusions in infinite dimensional spaces.

Ibrahim, A.G., Alkulaibi, K.S. (2004)

Portugaliae Mathematica. Nova Série

Similarity:

A superquadratic method for solving variational inclusions under weak conditions.

Jean-Alexis, Célia, Piétrus, Alain (2008)

Applied Mathematics E-Notes [electronic only]

Similarity:

Some mean convergence and complete convergence theorems for sequences of $m$ -linearly negative quadrant dependent random variables

Yongfeng Wu, Andrew Rosalsky, Andrei Volodin (2013)

Applications of Mathematics

Similarity:

The structure of linearly negative quadrant dependent random variables is extended by introducing the structure of $m$ -linearly negative quadrant dependent random variables ( $m = 1, 2, \dots$ ). For a sequence of $m$ -linearly negative quadrant dependent random variables ${X_{n}, n \geq 1}$ and $1 < p < 2$ (resp. $1 \leq p < 2$ ), conditions are provided under which $n^{- 1 / p} \sum_{k = 1}^{n} (X_{k} - E X_{k}) \to 0$ in $L^{1}$ (resp. in $L^{p}$ ). Moreover, for $1 \leq p < 2$ , conditions are provided under which $n^{- 1 / p} \sum_{k = 1}^{n} (X_{k} - E X_{k})$ converges completely to $0$ . The current work extends some results of Pyke and Root (1968) and it extends and...

On convergence for sequences of pairwise negatively quadrant dependent random variables

Yongfeng Wu, Guangjun Shen (2014)

Applications of Mathematics

Similarity:

In this paper, some new results on complete convergence and complete moment convergence for sequences of pairwise negatively quadrant dependent random variables are presented. These results improve the corresponding theorems of S. X. Gan, P. Y. Chen (2008) and H. Y. Liang, C. Su (1999).

Convergence of prox-regularization methods for generalized fractional programming

Ahmed Roubi (2002)

RAIRO - Operations Research - Recherche Opérationnelle

Similarity:

We analyze the convergence of the prox-regularization algorithms introduced in [1], to solve generalized fractional programs, without assuming that the optimal solutions set of the considered problem is nonempty, and since the objective functions are variable with respect to the iterations in the auxiliary problems generated by Dinkelbach-type algorithms DT1 and DT2, we consider that the regularizing parameter is also variable. On the other hand we study the convergence when the iterates...

On a quadratically convergent method using divided differences of order one under the gamma condition

Ioannis Argyros, Hongmin Ren (2008)

Open Mathematics

Similarity:

We re-examine a quadratically convergent method using divided differences of order one in order to approximate a locally unique solution of an equation in a Banach space setting [4, 5, 7]. Recently in [4, 5, 7], using Lipschitz conditions, and a Newton-Kantorovich type approach, we provided a local as well as a semilocal convergence analysis for this method which compares favorably to other methods using two function evaluations such as the Steffensen’s method [1, 3, 13]. Here, we provide...