Global smoothness and uniform convergence of smooth picard singular operators

Computers and Mathematics with Applications

Volumn 50, Issue 10-12, 2005, Pages 1755-1766

  Anastassiou, G A ^a  

^a University of Memphis   (United States)

Author keywords

Modulus of smoothness; Picard singular integral; Rate of convergence; Simultaneous approximation; Simultaneous global smoothness

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; DIFFERENCE EQUATIONS; FUNCTIONS; INTEGRAL EQUATIONS;

MODULUS OF SMOOTHNESS; PICARD SINGULAR INTEGRAL; RATE OF CENVERGENCE; SIMULTANEOUS APPROXIMATION; SIMULTANEOUS GLOBAL SMOOTHNESS;

MATHEMATICAL OPERATORS;

EID: 28844444543     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2005.02.020     Document Type: Article

References (18)

1. G.A. Anastassiou Global smoothness preservation by singular integrals Proyecciones 14 2 1995 83 88
2. G.A. Anastassiou, and S.G. Gal Approximation Theory 2000 Birkhäuser New York
3. R.N. Mohapatra, and R.S. Rodriguez On the rate of convergence of singular integrals for Hölder continuous functions Math. Nachr. 149 1990 117 124
4. S.G. Gal Remark on the degree of approximation of continuous functions by singular integrals Math. Nachr. 164 1993 197 199
5. S.G. Gal Degree of approximation of continuous functions by some singular integrals Rev. Anal. Numér, Théor. Approx. (Cluj) XXVII 2 1998 251 261
6. G.A. Anastassiou Quantitative Approximations 2001 Chapman and Hall/CRC Boston, MA
7. G.A. Anastassiou, and S. Gal Convergence of generalized singular integrals to the unit, univariate case Math. Inequalities and Applications 3 4 2000 511 518
8. G.A. Anastassiou, and S. Gal Convergence of generalized singular integrals to the unit, multivariate case Applied Math. Rev. Volume 1 2000 World Sci. Publ. Co. Boca Raton, FL 1 8
9. G.A. Anastassiou, Basic convergence with rates of smooth Picard singular integral operators (to appear).
10. p convergence with rates of smooth Picard singular operators (to appear).
11. G.A. Anastassiou Rate of convergence of non-positive linear convolution type operators. A sharp inequality J. Math. Anal. and Appl. 142 1989 441 451
12. G.A. Anastassiou Sharp inequalities for convolution type operators Journal of Approximation Theory 58 1989 259 266
13. R.A. De Vore, and G.G. Lorentz Constructive Approximation Volume 303 1993 Springer-Verlag Singapore
14. E. Hewitt, and K. Stromberg Real and Abstract Analysis 1965 Springer Berlin
15. C.D. Aliprantis, and O. Burkinshaw Principles of Real Analysis Third Edition 1998 Academic Press Berlin
16. G.A. Anastassiou Taylor integral remainders and moduli of smoothness Y. Cho J. Kim S. Dragomir Inequality Theory and Applications Volume 1 2001 Nova Science Publishers, Inc. San Diego, CA 1 13
17. G.A. Anastassiou Moments in probability and approximation theory Pitman Research Notes in Math. Volume 287 1993 Longman Sci. and Tech.
18. L. Schumaker Spline Functions. Basic Theory 1981 J. Wiley and Sons Harlow, U.K.