利用Lidstone多项式和新Green函数对多数化不等式的推广结果

The Journal of Nonlinear Sciences and Applications Pub Date : 2018-05-03 DOI:10.22436/jnsa.011.06.08

N. Latif, J. Pečarić, N. Siddique

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引用次数: 2

摘要

利用[N]中定义的新Green函数，得到了多数化不等式的推广结果。马茂德，r.p. Agarwal, S. I. Butt, J. Pecari, c, J.不等式。达成。， ' 2017(2017)， 17页]和Lidstone的多项式。我们找到了新的Gruss型和Ostrowski型的上界。通过构造在凸函数上构造的线性泛函，给出了多数化不等式的进一步结果。给出了一些应用。

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Generalized results of Majorization inequality via Lidstone's polynomial and newly Green function

Generalized results of majorization inequality are obtained by using newly Green functions defined in [N. Mahmood, R. P. Agarwal, S. I. Butt, J. Pecari ˇ c, J. Inequal. Appl., ´ 2017 (2017), 17 pages] and Lidstone’s polynomial. We find new upper bounds of Gruss and Ostrowski type. We give further results of majorization inequality by making linear functionals constructed on ¨ convex functions. Some applications are given.

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The Journal of Nonlinear Sciences and Applications

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