Multidimensional Opial inequalities for functions vanishing at an interior point

Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni

Volumn 15, Issue 1, 2004, Pages 5-15

  Anastassiou, George A ^a   Goldstein, Gisele Ruiz ^a   Goldstein, Jerome A ^a  

^a University of Memphis   (United States)

Author keywords

Integral inequalities; Opial type multidimensional inequality; Sharp inequality

Indexed keywords

EID: 84887216453     PISSN: 11206330     EISSN: 17200768     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. R.P. AGARWAL - P.Y.H. PANG, Opial inequalities with applications in differential and difference equations. Kluwer Academic Publishers, Dordrecht-Boston-London 1995.
2. P.R. BEESACK, On an integral inequality of Z. Opial. Trans. Amer. Math. Soc., 104, 1962, 479-475.
3. W. FLEMING, Functions of Several Variables. Undergraduate texts in mathematics, 2nd ed., SpringerVerlag, New York 1977.
4. N. LEVINSON, On an inequality of Opial and Beesack. Proc. Amer. Math. Soc., 15, 1964, 565-566.
5. I.D. NEČAEV, Integral inequalities with gradients and derivatives. Soviet Math. Dokl., 22, 1973, 1184-1187.
6. C. OLECH, A simple proof of a certain result of Z. Opial. Ann. Polon. Math., 8, 1960, 61-63.
7. Z. OPIAL, Sur une inégalité. Ann. Polon. Math., 8, 1960, 29-32.
8. W.C. TROY, On the Opial-Olech-Beesack inequalities. USA-Chile Workshop on Nonlinear Analysis. Electron. J. Diff. Eqns., Conference, 06, 2001, 297-301. http://ejde.math.swt.eduor http://ejde.math.unt.edu.