LEBESGUE-STIELTJES INTEGRAL AND YOUNG’S INEQUALITY

Applicable Analysis and Discrete Mathematics

article

Milan Merkle¹  Dan Marinescu²  Monica M. R. Merkle³  Mihai Monea⁴  Marian Stroe⁵ 

[1] Department of Applied Mathematics, Faculty of Electrical Engineering, University of Belgrade;Colegiul National “Iancu de Hunedoara”;Instituto de Mathematica, Universidade Federal do Rio de Janeiro;Colegiul National “Decebal” Deva;Colegiul Economic Emanoil Gojdu

关键词: Young’s inequality;    Lebesgue-Stieltjes integral;    integration by parts;    change of variables;    generalized inverse;   

DOI  :  10.2298/AADM131211024M

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

For non-decreasing real functions f and g, we consider the functionalT (f,g; I,J) =I f(x) dg(x) +J g(x) df(x), where I and J are intervalswith J ⊆ I. In particular case with I = [a, t], J = [a, s],a

【 授权许可】

Unknown