Sentence examples for provided a generalization of the from inspiring English sources

Aoki [3] provided a generalization of the Hyers' theorem for additive mappings.

Aoki [4] and Rassias [5] provided a generalization of the Hyers theorem for additive and linear mappings, respectively.

In 1978, Th.M. Rassias [3] provided a generalization of the Hyers' theorem that allows the Cauchy difference to be unbounded.

In 1950 Aoki [3] provided a generalization of the Hyers' theorem for additive mappings and in 1978 Th.

In 1950, Aoki [3] provided a generalization of the Ulam-Hyers stability of mappings by considering variables.

M. Rassias [5] provided a generalization of the Hyers' theorem by proving the existence of unique linear mappings near approximate additive mappings.

This paper provides a generalization of the realizability-preserving discontinuous-Galerkin scheme given in [3] to general full-moment models that can be closed analytically.

These techniques provide a generalization of the notion of potential to non-potential, non-equilibrium systems.

The functional term g is introduced in order to provide a generalization of the classical nonlinear NLS model.

In the following lemma, which was proved in [13], we provide a generalization of the property (4.1) from L p -norms to Orlicz norms.

The paper provides a generalization of the equilibrium distribution function of the current sheath (Harris function) to the case of temperature anisotropy of plasma along and across the sheath.