Agarwal Praveen, Salahshour Soheil, Ntouyas Sotiris K, Tariboon Jessada
Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India.
Department of Computer Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran.
ScientificWorldJournal. 2014;2014:174126. doi: 10.1155/2014/174126. Epub 2014 Sep 11.
In recent years, a remarkably large number of inequalities involving the fractional q-integral operators have been investigated in the literature by many authors. Here, we aim to present some new fractional integral inequalities involving generalized Erdélyi-Kober fractional q-integral operator due to Gaulué, whose special cases are shown to yield corresponding inequalities associated with Kober type fractional q-integral operators. The cases of synchronous functions as well as of functions bounded by integrable functions are considered.
近年来，许多作者在文献中研究了大量涉及分数阶q -积分算子的不等式。在此，我们旨在给出一些涉及由高吕埃提出的广义埃尔德利 - 科贝尔分数阶q -积分算子的新的分数阶积分不等式，其特殊情况被证明能产生与科贝尔型分数阶q -积分算子相关的相应不等式。我们考虑了同步函数以及由可积函数界定的函数的情况。
