关于∇-凸函数相关结果的若干注释

IF 0.5 Q4 MULTIDISCIPLINARY SCIENCES Journal of Mathematical and Fundamental Sciences Pub Date : 2021-05-20 DOI:10.5614/J.FUND.MATH.SCI.2021.53.1.5

Asif R Khan, F. Mehmood, F. Nawaz, Aamna Nazir

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引用次数: 1

摘要

本文利用高阶可分向量，给出了二维和PM i=1PN j=1 pijf(yi,zj)和PM i=1PN j=1 pijj离散情况下的一些一般的Popoviciu型恒等式，并利用双变量高阶可分函数的双事件方法，导出了积分情况下的RRP(y,z)f(y,z)dydz，这些恒等式是已有结果的推广。

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Some Remarks on Results Related to ∇-Convex Function

In present article we give some general identities of Popoviciu type for discrete case for sums PM i=1PN j=1 pijf(yi,zj) andPM i=1PN j=1 pijaij for two dimension using higher order âˆ‡ divided dii¬€erence, and for integral case RRP(y,z)f(y,z)dydz are deduced by dii¬€erent methods for higher order dii¬€erentiable function of two variables and these identities would be generalization of several established results.

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来源期刊

Journal of Mathematical and Fundamental Sciences MULTIDISCIPLINARY SCIENCES-

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

24 weeks

期刊介绍： Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, Biology, Health Sciences, Medical Sciences, Pharmacy), Mathematics, Physics, and Statistics. New submissions of mathematics articles starting in January 2020 are required to focus on applied mathematics with real relevance to the field of natural sciences. Authors are invited to submit articles that have not been published previously and are not under consideration elsewhere.