Opial type inequalities for semigroups

Semigroup Forum

Volumn 75, Issue 3, 2007, Pages 624-633

  Anastassiou, George A ^a  

^a University of Memphis   (United States)

Author keywords

Opial inequality; Semigroup

Indexed keywords

EID: 37349087889     PISSN: 00371912     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00233-007-0727-5     Document Type: Article

References (9)

1. Anastassiou, G. A., Ostrowski type inequalities, Proc. A.M.S. 123 (1995), 3775-3781.
2. Anastassiou, G. A., "Quantitative Approximations", Chapman and Hall/CRC, Boca Raton, New York, 2001.
3. Butzer, P. L. and H. Berens, "Semi-Groups of Operators and Approximation", Springer- Verlag, New York, 1967.
4. Butzer, P. L. and H. G. Tillmann, Approximation theorems for semi-groups of bounded linear transformations, Math. Annalen 140 (1960), 256-262.
5. Goldstein, J. A., "Semigroups of Linear Operators and Applications", Oxford University Press, Oxford, 1985.
6. Hille, E. and R. S. Phillips, "Functional Analysis and Semigroups", revised edition, pp. XII a. 808, Amer. Math. Soc. Colloq. Publ., vol. 31, Amer. Math. Soc., Providence, RI, 1957.
7. Katznelson, Y., "An Introduction to Harmonic Analysis", Dover, New York, 1976.
8. Opial, Z., Sur une inegalité, Ann. Polon. Math. 8 (1960), 29-32.
9. Willett, D., The existence-uniqueness theorems for nth order linear ordinary differential equation, Amer. Math. Monthly 75 (1968), 174-178.