Glossary of Symbols 725SEQUENCES AND SERIES OF FUNCTIONSSymbol Meaning Defined on page
F(S,ffi.), set of all functions f : S _.JR; 541,^625
B(S) set of all bounded functions on [a, b]^541
C(S) set of all continuous functions on [a, b]^541
D(S) set of all differentiable functions on [a, b]^541
Ck(S) set of all f for which j(k) is continuous on [a, b]^541
C^00 (S) set of all f^3 \:/k E N, J(k) is continuous on [a, b]^541
R[a,b] set of all f that are Riemann integrable on [a, b]^541
Un} a sequence of functions^541n-+oo lim fn = f {f n} converges pointwise to f^541
Jn ___.. f {f n} converges pointwise to f^541
llJll sup norm off^548
d(f,g) Iii -gll, the distance between f and g^548
((x) Riemann's zeta-function^568
P[a,b] set of all polynomials on [a, b]^573
CAP[a,b] all continuous f approximable by polynomials on [a, b]^573
(x - c)+ max{O, x ~ c}^575