This paper presents a generalization of Young's inequality to the real functions of several variables. Moreover, the relevant facts about Young's inequality and its extension including improved proofs are provided in a review. The basic results are initiated by applying the integral method to a strictly increasing continuous function of one variable.
Keywords: Strictly increasing function, integral sum, Young's inequality
Pavić, Zlatko 1
@article{10_22436_jnsa_009_09_09,
author = {Pavi\'c, Zlatko},
title = {Youngs inequality for multivariate functions},
journal = {Journal of nonlinear sciences and its applications},
pages = {5403-5409},
year = {2016},
volume = {9},
number = {9},
doi = {10.22436/jnsa.009.09.09},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.09.09/}
}
TY - JOUR AU - Pavić, Zlatko TI - Youngs inequality for multivariate functions JO - Journal of nonlinear sciences and its applications PY - 2016 SP - 5403 EP - 5409 VL - 9 IS - 9 UR - http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.09.09/ DO - 10.22436/jnsa.009.09.09 LA - en ID - 10_22436_jnsa_009_09_09 ER -
Pavić, Zlatko. Youngs inequality for multivariate functions. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 9, p. 5403-5409. doi: 10.22436/jnsa.009.09.09
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