Sentence examples for by replacing the bound from inspiring English sources

G vruţa [9] provided a further generalization of Rassias' theorem by replacing the bound of Cauchy difference by a general control function.

Furthermore, in 1994, a generalization of Rassias' theorem was obtained by Gǎvruta [4] by replacing the bound ε(||x|| p + ||y|| p ) by a general control function φ x, y).

Furthermore, in 1994, a generalization of the Rassias' theorem was obtained by Gǎvruta [4] by replacing the bound ϵ(||x|| p + ||y|| p ) by a general control function φ x, y).

Furthermore, in 1994, a generalization of Rassias's theorem was obtained by Gǎvruta [13] by replacing the bound (epsilon (Vert xVert ^p+Vert yVert ^p)) by a general control function (phi (x,y)).

Function ({mathrm{dec}}) essentially performs this decomposition, by removing the restriction (which can occur only externally, by syntactic definition) and by replacing the bound names in L with the corresponding restricted names in (L').

In 1994, a generalization of Rassias' theorem was obtained by Gǎvruta [15] by replacing the bound ϵ ( ∥ x ∥ p + ∥ y ∥ p ) by a general control function φ ( x, y ).

The equivalent of a UNIX I/O redirection can be achieved by replacing the channel bound to a given name.

In 1994, a generalization was obtained by Gavruta [8], who replaced the bound by a general control function.

In 1994, a generalization of the Rassias' theorem was obtained by G vruţa [6], who replaced the bound by a general control function For the stability problems of various functional equations and mappings and their Pexiderized versions, we refer the readers to [7 15].

Găvruta [4] provided a further generalization of Rassias' theorem in which he replaced the bound by a general function.

In 1994, Gavruta [8] provided a generalization of Rassias theorem in which he replaced the bound by a general control function.