The inequalities for some types of q-integrals
Using the restriction of the q-integral over [a, b] to a finite sum and q-integral of Riemann-type, we establish new integral inequalities of q-Chebyshev type, q-Gruss type, q-Hermite-Hadamard type and Cauchy-Buniakowsky type. Some inequalities which include the boundaries of functions are also indicated. (C) 2008 Elsevier Ltd. All rights reserved.
q-integral integral inequalities chebyshev inequality gruss type inequality hermite-hadamard inequality