TY - JOUR TI - Special functions: Approximations and bounds AU - Cerone P. JN - Applicable Analysis and Discrete Mathematics PY - 2007 VL - 1 IS - 1 SP - 72 EP - 91 PT- Article AB- The Steffensen inequality and bounds for the Čebysev functional are utilized to obtain bounds for some classical special functions. The technique relies on determining bounds on integrals of products of functions. The above techniques are used to obtain novel and useful bounds for the Bessel function of the first kind, the Beta function, and the Zeta function.