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zbMATH Open
Article . 2006
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Inequalities which include q-integrals

Inequalities which include \(q\)-integrals
Authors: Stanković, M. S.; Rajković, P. M.; Marinković, Sladjana D.;

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.

Keywords

Inequalities for sums, series and integrals, integral inequalities, Basic hypergeometric integrals and functions defined by them

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Top 10%
Top 1%
Average
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