The Inequalities for Some Types of $q$-Integrals

Details The Inequalities for Some Types of $q$-Integrals The Inequalities for Some Types of $q$-Integrals

2006-05-08

arxiv.org/abs/math/0605208v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We discuss the inequalities for $q$-integrals because of the fact that the inequalities can be very useful in the future mathematical research. Since $q$-integral of a function over an interval $[a,b]$ is defined by the difference of two infinite sums, there a lot of unexpected troubles in analyzing analogs of well-known integral inequalities. In this paper, we will signify to some directions to exceed this problem.

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