Inequalities which include q-integrals
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Published:2006
Issue:31
Volume:133
Page:137-146
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ISSN:0561-7332
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Container-title:Bulletin: Classe des sciences mathematiques et natturalles
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language:en
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Short-container-title:B ACAD SERBE SCI SMN
Author:
Stankovic M.S.1,
Rajkovic P.M.2,
Marinkovic Sladjana2
Affiliation:
1. Faculty of Occupational Safety, Niš
2. Faculty of Mechanical Engineering, Niš
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.
Publisher
National Library of Serbia
Subject
Agricultural and Biological Sciences (miscellaneous),General Mathematics
Cited by
1 articles.
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1. Fractional integrals and derivatives in q-calculus;Applicable Analysis and Discrete Mathematics;2007