Generalizations and applications of Young’s integral inequality by higher order derivatives-Reference-Cited by-同舟云学术

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

Published:2019-09-11 Issue:1 Volume:2019 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Wang Jun-Qing,Guo Bai-Ni^ORCID,Qi Feng

Abstract

Abstract In the paper, the authors

generalize Young’s integral inequality via Taylor’s theorems in terms of higher order derivatives and their norms, and

apply newly-established integral inequalities to estimate several concrete definite integrals, including a definite integral of a function which plays an indispensable role in differential geometry and has a connection with the Lah numbers in combinatorics, the exponential integral, and the logarithmic integral.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13660-019-2196-2.pdf

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