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On simultaneous approximation by certain linear positive operators

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References

  1. L.Comtet, Analyse combinatoire II. Paris: Presses Universitaires de France 1970.

  2. E. Y. Deeba, Simultaneous Approximation of a Function and its Derivatives by a Positive Linear Operator. Tamkang J. Math.10, 35–43 (1979).

    Google Scholar 

  3. Z. Ditzian, Convergence of Sequences of Linear Positive Operators: Remarks and Applications. J. Approx. Theory14, 296–301 (1975).

    Google Scholar 

  4. H. H. Gonska, Quantitative Korovkin Type Theorems on Simultaneous Approximation. Math. Z.186, 419–433 (1984).

    Google Scholar 

  5. H.-B. Knoop andP. Pottinger, Ein Satz vom Korovkin-Typ fürC k-Räume. Math. Z.148, 23–32 (1976).

    Google Scholar 

  6. A. Lupas, On the Approximation by Linear Positive Operators. ISNM15, 167–175. Basel-Stuttgart 1970.

    Google Scholar 

  7. A. Lupas andM. Müller, Approximationseigenschaften der Gammaoperatoren. Math. Z.98, 208–226 (1967).

    Google Scholar 

  8. R. Martini, On the Approximation of Functions together with their Derivatives by Certain Linear Positive Operators. Indag. Math.31, 473–481 (1969).

    Google Scholar 

  9. P.Pottinger, Zur linearen Approximation im RaumC k (J). Habilitationsschrift, Universität Duisburg 1976.

  10. O. Shisha andB. Mond, The Degree of Convergence of Linear Positive Operators. Proc. Nat. Acad. Sci. U.S.A.60, 1196–1200 (1968).

    Google Scholar 

  11. S. P. Singh, On the Degree of Approximation by Szász Operators. Bull. Austral. Math. Soc.24, 221–225 (1981).

    Google Scholar 

  12. S. P. Singh, On the Degree of Approximation by Baskakov-Type Operators. Pure Appl. Math. Sci., no. 1–2,20, 81–86 (1984).

    Google Scholar 

  13. S. P. Singh andO. P. Varshney, A Note on Convergence of Linear Positive Operators. J. Approx. Theory39, 386–388 (1983).

    Google Scholar 

  14. S. P. Singh, O. P. Varshney andG. Prasad, On Convergence of the Derivatives of Baskakov-Type Operators. Boll. Un. Mat. Ital. (6)2–A, 289–296 (1983).

    Google Scholar 

  15. O. P. Varshney andS. P. Singh, On Degree of Approximation by Positive Linear Operators. Rend. Mat. (7)2, 219–225 (1982).

    Google Scholar 

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Knoop, H.B., Pottinger, P. On simultaneous approximation by certain linear positive operators. Arch. Math 48, 511–520 (1987). https://doi.org/10.1007/BF01190358

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