Uniform convergence with rates of smooth Gauss–Weierstrass singular integral operators

References

• Anastassiou , GA . 2006 . Basic convergence with rates of smooth Picard singular operators . J. Comput. Anal. Appl. , 8 : 313 – 334 .
   Google Scholar
• Gal , SG . 1993 . Remark on the degree of approximation of continuous functions by singular integrals . Math. Nachr. , 164 : 197 – 199 .
   Web of Science ®Google Scholar
• Gal , SG . 1998 . Degree of approximation of continuous functions by some singular integrals . Rev. Anal. Numér. Théor. Approx. (Cluj) Tome , XXVII ( 2 ) : 251 – 261 .
   Google Scholar
• Mohapatra , RN and Rodriguez , RS . 1990 . On the rate of convergence of singular integrals for Hölder continuous functions . Math. Nachr. , 149 : 117 – 124 .
   Web of Science ®Google Scholar
• Anastassiou , GA . 1993 . Moments in Probability and Approximation Theory, Pitman Research Notes in Mathematics Series , Vol. 287 , Harlow , , UK : Longman Science and Technology .
   Google Scholar
• Anastassiou , GA and Gal , S . 2000 . Convergence of generalized singular integrals to the unit, univariate case . Math. Inequal. Appl. , 3 ( 4 ) : 511 – 518 .
   Web of Science ®Google Scholar
• Anastassiou , GA and Gal , S . 2000 . “ Convergence of generalized singular integrals to the unit, multivariate case ” . In Applied Mathematics. SIAM Review , Vol. 1 , 1 – 8 . Singapore : World Scientific Publishing Co. .
   Google Scholar
• Anastassiou , GA . 1989 . Rate of convergence of non-positive linear convolution type operators. A sharp inequality . J. Math. Anal. Appl. , 142 : 441 – 451 .
   Web of Science ®Google Scholar
• Anastassiou , GA . 1989 . Sharp inequalities for convolution type operators . J. Approx. Theory , 58 : 259 – 266 .
   Web of Science ®Google Scholar
• Anastassiou , GA . 2001 . Quantitative Approximations , Boca Raton , New York : Chapman & Hall/CRC .
   Google Scholar
• DeVore , RA and Lorentz , GG . 1993 . Constructive Approximation , Vol. 303 , Berlin , New York : Springer-Verlag .
   Google Scholar
• Schumaker , L . 1981 . Spline Functions. Basic Theory , New York : John Wiley & Sons .
   Google Scholar
• Kemperman , JB . 1968 . The general moment problem, a geometric approach . Ann. Math. Stat. , 39 : 93 – 122 .
   Google Scholar