Sentence examples for in the class of functions from inspiring English sources

We prove superstability of the functional equation in the class of functions.

We solve the functional equation,, and prove its Hyers-Ulam stability in the class of functions, where is a real (or complex) Banach space.

We consider the optimization problem of minimizing ∫ΩG(|∇u| dx in the class of functions W1,G, with a constraint on the volume of {u>0}.

We also show some stability results of the equation in the class of functions.

solutions of which we should seek in the class of functions bounded at the points and.

and prove its Hyers-Ulam stability in the class of functions, where is a real (or complex) Banach space.

It can be shown as in foregoing cases that the class of functions { h z, z ∈ ( 0, ∞ ) } weakly converges to zero in L q ′ as z → ∞.

In this paper we examine the class of functions that are convex in one direction.

In this paper, we introduce the class of functions which are harmonic in.

For the class of functions in Y, we state the following fixed point theorem.

Here, consists of the class of functions in which coincide on the interval, with of course defined by.