论文信息 - ASYMPTOTIC BEHAVIOR OF (a, k)-REGULARIZED RESOLVENT FAMILIES AT ZERO

ASYMPTOTIC BEHAVIOR OF (a, k)-REGULARIZED RESOLVENT FAMILIES AT ZERO

This paper is primarily concerned with approximation at 0 of an (a, k)-regularized resolvent family R(·) for Volterra integral equation. We shall consider convergence rates of some kind of local means Qm(t), t ≥ 0,m ≥ 0, of R(t)/k(t). Some approximation theorems and local ergodic theorems with rates will be deduced from general approximation theorems for regularized approximation processes.

Jeng-Chung Chen | Sen-Yen Shaw

[1] J. Prüss. Evolutionary Integral Equations And Applications , 1993 .

[2] Carlos Lizama,et al. ON PERTURBATION OF K-REGULARIZED RESOLVENT FAMILIES , 2003 .

[3] On α-times integrated C-semigroups and the abstract Cauchy problem , 2000 .

[4] Jung-Chan Chang,et al. Rates of approximation and ergodic limits of resolvent families , 1996 .

[5] H. Lotz,et al. Uniform convergence of operators onL∞ and similar spaces , 1985 .

[6] Hirokazu Oka. Linear Volterra equations and integrated solution families , 1996 .

[7] Carlos Lizama,et al. Regularized Solutions for Abstract Volterra Equations , 2000 .

[8] Paul L. Butzer,et al. Fourier analysis and approximation , 1971 .

[9] Carlos Lizama,et al. On approximation and representation of K-regularized resolvent families , 2001 .

[10] Sen-Yen Shaw,et al. Convergence Rates of Regularized Approximation Processes , 2002, J. Approx. Theory.

[11] S. Shaw,et al. N-TIMES INTEGRATED C-SEMIGROUPS AND THE ABSTRACT CAUCHY PROBLEM , 1997 .