Generalized Bochner-Riesz means on spaces generated by smooth blocks
We investigate generalized Bochner-Riesz means at the critical index on spaces generated by smooth blocks and give some approximation theorems.
An inequality in Orlicz function spaces with Orlicz norm
We use Simonenko quantitative indices of an -function to estimate two parameters and in Orlicz function spaces with Orlicz norm, and get the following inequality: , where and are Simonenko indices. A similar inequality is obtained in with Orlicz norm.
Sequentially compact sets in a class of generalized Orlicz spaces
In this paper, we will characterize sequentially compact sets in a class of generalized Orlicz spaces.
Privacy Preserving in Ubiquitous Computing: Classification & Hierarchy
An Energy Efficient and Load Balancing Routing Algorithm for Wireless Sensor Networks
Weighted composition operators from Zygmund spaces to Bloch spaces on the unit ball
Let H() denote the space of all holomorphic functions on the unit ball ⊂ ℂⁿ. Let φ be a holomorphic self-map of and u∈ H(). The weighted composition operator on H() is defined by . We investigate the boundedness and compactness of induced by u and φ acting from Zygmund spaces to Bloch (or little Bloch) spaces in the unit ball.
Sums of square-zero operators
Practical Ulam-Hyers-Rassias stability for nonlinear equations
In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets. We derive some interesting sufficient conditions on practical Ulam-Hyers-Rassias stability from a nonlinear functional analysis point of view. Our method is based on solving nonlinear equations via homotopy method together with Bihari inequality result. Then we consider nonlinear equations...
Strong convergence of a new iteration for a finite family of accretive operators.
Generalized Boundary Value Problems for Nonlinear Fractional Langevin Equations
In this paper, generalized boundary value problems for nonlinear fractional Langevin equations is studied. Some new existence results of solutions in the balls with different radius are obtained when the nonlinear term satisfies nonlinear Lipschitz and linear growth conditions. Finally, two examples are given to illustrate the results.
Strong convergence theorems for strict pseudocontractions in uniformly convex Banach spaces.
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