温州大学学报(自然科学版)2024,Vol.45Issue(1) :1-9.DOI:10.20108/j.wzun.2022.06.28.0001

一个二阶可微函数Iyengar型不等式的量子模拟

Quantum Analogues of an Iyengar Type Inequality Involving Second Differentiable Function

时统业
温州大学学报(自然科学版)2024,Vol.45Issue(1) :1-9.DOI:10.20108/j.wzun.2022.06.28.0001

一个二阶可微函数Iyengar型不等式的量子模拟

Quantum Analogues of an Iyengar Type Inequality Involving Second Differentiable Function

时统业1
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作者信息

  • 1. 海军指挥学院,江苏南京 211800
  • 折叠

摘要

针对二阶q导数和二阶qb导数都有界的函数,从q积分、qb积分的定义和Newton-Leibniz公式出发,建立了量子积分的Iyengar型不等式,并且说明了所得不等式在弱条件下也成立.所得结果是一个涉及二阶导数的Iyengar型不等式的量子模拟.

Abstract

Starting with the definitions and Newton-Leibniz formula of q-integral and qb-integral,Iyengar type inequalities for the quantum integral are established for functions whose second q-derivatives and second qb-derivatives are bounded.It is also shown that the inequalities obtained hold even under weak conditions.The results of this paper are quantum analogues of an Iyengar type inequality involving second derivatives.

关键词

Iyengar型不等式/q导数/qb导数/q积分/qb积分/可微函数

Key words

Iyengar Type Inequality/q-Derivatives/qb-Derivatives/q-Integral/qb-Integral/Differentiable Function

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出版年

2024
温州大学学报(自然科学版)
温州大学

温州大学学报(自然科学版)

影响因子:0.184
ISSN:1674-3563
参考文献量35
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