ABSTRACT
The zeros off (x) are located at x = 21+ 2(12 - 1) 'I2. If we restrict I E [0, a], where a is a fixed number in the interval [0, 1). then these zeros are complex, and f(x) is positive throughout (0, a ) . Accordingly, Theorem 2.1 of Chapter 6 is applicable to (1 1.06), with a l = 0 and a, = a. From #4.2 and 4.3 of the same chapter-or directly-it is seen that the error-control function F constructed from (1 1.07) has a convergent variation at x = a and 0, that is,
is finite. Moreover, it is easily seen that
uniformly with respect to 1 E LO, a]. Again, the cited theorem asserts that solutions wl(x) and w, (x) of (1 1-06) exist
such that
w1 (XI wk B(k, m), w2 ( 4 where A (k, m) and B(k, m) are independent of x (or 2).
