Bulletin: Classe des sciences mathematiques et natturalles 2006 Volume 133, Issue 31, Pages: 137-146
https://doi.org/10.2298/BMAT0631137S
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Inequalities which include q-integrals
Stanković M.S. (Faculty of Occupational Safety, Niš)
Rajković P.M. (Faculty of Mechanical Engineering, Niš)
Marinković Slađana D. (Faculty of Mechanical Engineering, Niš)
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.
Keywords: integral inequalities, q-integral