Integral Inequalities in Higher Dimensional Spaces | Zendy

Shiojenn Tseng | Zendy; PEN-CHI WANG | Zendy; WingSum Cheung | Zendy; Chur-Jen Chen | Zendy

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Integral Inequalities in Higher Dimensional Spaces

Author(s) -

Shiojenn Tseng,

PEN-CHI WANG,

WingSum Cheung,

Chur-Jen Chen

Publication year - 2005

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1247

Subject(s) - monotonic function , mathematics , integral equation , inequality , calculus (dental) , calculus of variations , regular polygon , work (physics) , time scale calculus , convex function , mathematical analysis , multivariable calculus , geometry , physics , medicine , dentistry , control engineering , engineering , thermodynamics

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.

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