Integral inequalities play an important role in many different areas including differential equations, integral equations, variational calculus, etc. In this work, we present some new higher dimensional integral inequalities involving monotonic or convex functions in higher dimensional spaces. These are then applied to solve directly some Calculus of Variations problems for optimal solutions, effectively.
Cite this article
SHIOJENN TSENG, PEN-CHI WANG, WING-SUM CHEUNG, Chur-Jen Chen, Integral Inequalities in Higher Dimensional Spaces. Z. Anal. Anwend. 24 (2005), no. 2, pp. 389–400DOI 10.4171/ZAA/1247