论文标题
关于通过分数演算的OPIAL型不平等
On Opial-type inequalities via fractional calculus
论文作者
论文摘要
不平等在纯数学和应用数学中起着重要作用。尤其是，蛋白石不平等在研究差分方程的初始和边界价值问题的存在和独特性中起主要作用。它有一些有趣的概括。在这项工作中，我们证明了一些新的Opial型不平等，并将其应用于广义的Riemann-Liouville型整体运营商。
Inequalities play an important role in pure and applied mathematics. In particular, Opial inequality plays a main role in the study of the existence and uniqueness of initial and boundary value problems for differential equations. It has several interesting generalizations. In this work we prove some new Opial-type inequalities, and we apply them to generalized Riemann-Liouville-type integral operators.
