Узагальнені обернені нерівності Єнсена-Штеффенсена та пов’язані нерівності

IF 1 Q1 MATHEMATICS
A.R. Khan, F. Rubab
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引用次数: 0

Abstract

We compare two linear functionals that are negative on convex functions. Further, using Green's functions we give some new conditions for reversed Jensen-Steffensen and related inequalities to hold. Using Green's function we also give refinement of Levinson type generalization of reversed Jensen-Steffensen and related inequalities. The acquired results are then used for constructing mean-value theorems.
广义逆詹森-斯特芬森不等式及相关不等式
我们比较了两个在凸函数上为负的线性函数。此外,利用格林函数,我们给出了反向詹森-斯特芬森不等式和相关不等式成立的一些新条件。利用格林函数,我们还给出了反向詹森-斯蒂芬森不等式及相关不等式的莱文森式广义的细化。获得的结果将用于构建均值定理。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.90
自引率
12.50%
发文量
31
审稿时长
25 weeks
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