The Inequalities for Some Types of $q$-Integrals

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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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Classical Analysis and ODEs, 33D60, 26D15

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http://salesiana.dossiersoluciones.com/handle/123456789/112706

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605208
 http://arxiv.org/abs/math/0605208

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arXiv