Inequalities for the derivatives

Mathematical Inequalities and Applications

Volumn 3, Issue 1, 2000, Pages 129-132

  Ramm, A G ^a  

^a KANSAS STATE UNIVERSITY   (United States)

Author keywords

Inequalities for the derivatives; Stable numerical differentiation

Indexed keywords

EID: 0001541238     PISSN: 13314343     EISSN: None     Source Type: Journal    
DOI: 10.7153/mia-03-14     Document Type: Article

References (11)

1. G. HARDY, J. LITTLEWOOD, G. POLYA, Inequalities, Cambridge Univ. Press, London, 1951.
2. A. KOLMOGOROV, On inequalities between derivatives, Uchen. Zapiski Moscow Univ. Math., 30, (1939), 3-16.
3. E. LANDAU, Einige Ungleichungen für zweimal differentierbare Functionen, Proc. Lond. Math. Soc., 2, N13, (1913), 43-49.
4. T. MILLER, A. G. RAMM, Estimates of the derivatives of random functions II., J. Math. Anal. Appl., 110, (1985), 429-435.
5. A. G. RAMM, Random fields estimation theory, Longman Scientific and Wiley, New York, 1990.
6. _, On numerical differentiation, Izvestija vuzov, Mathem., 11, (1968), 131-135.
7. _, Stable solutions of some ill-posed problems, Math. Meth. in appl. Sci., 3, (1981), 336-363.
8. _, Estimates of the derivatives of random functions, J. Math. Anal. Appl., 102, (1984), 244-250.
9. _, On simultaneous approximation of a function and its derivative by interpolation polynomials, Bull. Lond. Math. Soc., 9, (1977), 283-288.
10. _, Simplified optimal differentiators, Radiotech.i Electron., 17, (1972), 1325-1328.
11. A. G. RAMM, A. B. SMIRNOVA, On stable numerical differentiation, (to appear).