Generalizations and applications of Young’s integral inequality by higher order derivatives

Abstract In the paper, the authors 1.generalize Young’s integral inequality via Taylor’s theorems in terms of higher order derivatives and their norms, and2.apply newly-established integral inequalities to estimate several concrete definite integrals, including a definite integral of a function whic...

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Detalhes bibliográficos
Main Authors: Jun-Qing Wang, Bai-Ni Guo, Feng Qi
Formato: Artigo
Idioma:Inglês
Publicado em: SpringerOpen 2019-09-01
Colecção:Journal of Inequalities and Applications
Assuntos:
Young’s integral inequality
Inverse function
Taylor’s theorem
Higher order derivative
Lebesgue measure
Norm
Acesso em linha:http://link.springer.com/article/10.1186/s13660-019-2196-2
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