绍兴文理学院学报2024,Vol.44Issue(2) :69-77.DOI:10.16169/j.issn.1008-293x.2024.02.007

量子积分的Iyengar型不等式

Iyengar Type Inequalities for Quantum Integral

时统业
绍兴文理学院学报2024,Vol.44Issue(2) :69-77.DOI:10.16169/j.issn.1008-293x.2024.02.007

量子积分的Iyengar型不等式

Iyengar Type Inequalities for Quantum Integral

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

从q积分的Newton-Leibniz型公式出发,建立了q积分的Iyengar型不等式,并将结果移植到qb积分.针对二阶q可微函数和二阶qb可微函数,利用q-Hayashi不等式,建立一个带有扰动项的量子Iyengar型不等式.

Abstract

Starting from Newton-Leibniz type formula for q-integral,Iyengar type inequality for q-integral is established,and the result is transplanted to qb-integral.Furthermore,a perturbed Iyengar type inequality for quantum integral is established using q-Hayashi inequality for second-order q-differentiable functions and second-order qb-differentiable functions.

关键词

Iyengar型不等式/q导数/qb导数/q积分/qb积分

Key words

Iyengar type inequality/q-derivative/qb-derivative/q-integral/qb-integral

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出版年

2024
绍兴文理学院学报
绍兴文理学院

绍兴文理学院学报

CHSSCD
影响因子:0.267
ISSN:1008-293X
参考文献量8
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