Inequalities which include q-integrals

Abstract

The main problem in analyzing inequalities which include q-integrals is the fact that q-integral of a function over an interval [a; b] (0 < a < b) is defined by the difference of two infinite sums. Thus defined q- integral properties must include the points outside of interval of integration. In this paper, we will signify to some directions for solving this problem and derive some inequalities which are analogues to well-known ones in standard integral calculus. AMS Mathematics Subject Classification (2000): 33D60, 26D15.