Fahad Asfand, Pečarić Josip, Imran Qureshi Muhammad
1Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Pakistan.
2Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia.
J Inequal Appl. 2018;2018(1):237. doi: 10.1186/s13660-018-1826-4. Epub 2018 Sep 12.
By using a Lidstone interpolation, Green's function and Montogomery's identity, we prove a new generalization of Steffensen's inequality. Some related inequalities providing generalizations of certain results given in (J. Math. Inequal. 9(2):481-487, 2015) have also been obtained. Moreover, from these inequalities, we formulate linear functionals and describe their properties.
通过使用利兹斯顿插值法、格林函数和蒙哥马利恒等式，我们证明了施泰费森不等式的一个新的推广。还得到了一些相关不等式，它们推广了（《数学不等式杂志》9(2):481 - 487, 2015）中给出的某些结果。此外，从这些不等式中，我们构造了线性泛函并描述了它们的性质。
