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Refinements of Young's integral inequality via fundamental inequalities and mean value theorems for derivatives | | Feng Qi
; Wen-Hui Li
; Guo-Sheng Wu
; Bai-Ni Guo
; | | Date: |
Sat, 8 Feb 2020 21:47:32 GMT (1818kb,D) | | Abstract: | In the paper, the authors review several refinements of Young’s integral
inequality via several mean value theorems, such as Lagrange’s and Taylor’s
mean value theorems of Lagrange’s and Cauchy’s type remainders, and via several
fundamental inequalities, such as v{C}ebyv{s}ev’s integral inequality,
Hermite--Hadamard’s type integral inequalities, H"older’s integral inequality,
and Jensen’s discrete and integral inequalities, in terms of higher order
derivatives and their norms, survey several applications of several refinements
of Young’s integral inequality, and further refine Young’s integral inequality
via P’olya’s type integral inequalities. | | Source: | arXiv, 2002.4428 | | Services: | Forum | Review | PDF | Favorites | |
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