Some Remarks on Results Related to ∇-Convex Function

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

引用次数: 1

Abstract

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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关于∇-凸函数相关结果的若干注释

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。

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

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

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