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Applicable Analysis
An International Journal
Volume 2, 1972 - Issue 4
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Original Articles

An equivalence theorem on best approximation of continuous functions by algebraic polynomials

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Pages 343-354 | Published online: 10 May 2007

References

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  • Butzer , P. L. and Scherer , K. 1969 . On the fundamental approximation theorems of D. Jackson, S. N Bernstein and theorems of M. Zamansky and S. B. Steckin . Aequationes Math. , 3 : 170 – 185 .
  • Freud , G. 1959 . Uber die Approximation reeller stetiger Funktionen durch gewohnliche Polynome . Math. Ann. , 137 : 17 – 25 .
  • Lorentz , G. G. 1966 . Approximation of Functions , Holt, Rinehart and Winston .
  • Malozemov , V. N. 1966 . Simultaneous approximation of a function and its derivatives by algebraic polynomials . Dokl. Akad. Nauk , 170 : 773 – 775 .
  • Runck , P. O. 1968 . Bemerkungen zu den Approximationssatzen von Jackson-Timan . Abstract Spaces and Approximation , 170 : 303 – 307 .
  • Timan , A. F. 1951 . Strengthening of Jackson's theorem on the best approximation of continuous functions on a finite segment of the real axis . Dokl. Akad. Nauk , 78 : 17 – 20 .
  • Timan , A. F. 1963 . Theory of Approximation of Functions of a Real Variable , Pergamon Press .
  • Wagner , H. J. 1970 . Approximation stetiger Funktionen durch algebraische Polynome auf einem endlichen Intervall. , T. H Aachen .
  • Zamansky , M. 1949 . Classes de saturation de certains procedes d'approximation des series de Fourier des fonctions continues et applications a quelques problemes d'approximation . Ann. Sci Ecole Norm. Sup. , 66 : 19 – 93 .

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