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Original Articles

Weighted Approximation of Functions with Inner Singularities by Exponential Weights in [−1, 1]

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Pages 181-194 | Published online: 31 Aug 2006

References

  • Allasia , G. 1995 . “ A class of interpolating positive linear operators, in Approximation Theory ” . In Wavelets and Applications Edited by: Singh , S. P. 1 – 36 . Dordrecht : Kluwer .
  • Borwein , P. and Erdélyi , T. 1995 . Polynomials and Polynomial Inequalities Springer-Verlag .
  • De Bonis , M. C. , Mastroianni , G. and Russo , M. G. in press . Polynomial approximation with special doubling weights . Acta Mth. Szeged ,
  • De Bonis , M. C. , Mastroianni , G. and Viggiano , M. K-Functionals, moduli of smoothness and Weighted Best Approximation on the semiaxis . Proc. Alexits Memorial Conference . In press
  • Della Vecchia , B. 1996 . Direct and converse results by rational operators . Const. Approx. , 12 : 271 – 285 .
  • Della Vecchia , B. and Mastroianni , G. 1991 . Pointwise simultaneous approximation by rational operators . J. Approx. Th. , 65 : 140 – 150 .
  • Della Vecchia , B. , Mastroianni , G. and Szabados , J. 2002 . Approximation with exponential weights in [−1,1] . J. Math. Anal. and Applic. , 272 : 1 – 18 .
  • Ditzian , Z. and Totik , V. 1987 . Moduli of Smoothness , Ser. Comput. Math. 9 Springer .
  • Mastroianni , G. and Szabados , J. 1997 . Balázs-Shepard operators on infinite intervals II . J. Approx. Th. , 90 : 1 – 8 .
  • Mastroianni , G. and Szabados , J. in press . Polynomial approximation on infinite intervals with weights having inner singularities . Acta Math. Hungar. ,
  • Mastroianni , G. and Totik , V. 1999 . Jackson type inequalities for doubling weights II . East J. Approximation , 5 : 101 – 116 .
  • Mastroianni , G. and Totik , V. 2001 . Best approximation and moduli of smoothness for doubling weights . J. Approx. Th. , 110 : 180 – 199 .

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