Abstract
Let C[a,b] denote the class of all real functions f(x) which, are defined and continuous on the closed interval [a,b] of the real x-axis and let C 2π denote the class of all real functions which are defined, continuous, and periodic with period 2π on the real axis (-∞,∞).
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References
Baskakov, V.A.: An example of a sequence of linear positive operators in the space of continuous functions. D.A.N. 113 (1957), 249–251.
Bohman, H.: On approximation of continuous and of analytic functions. Ark. Mat. 2 (1952), 43–57.
Korovkin, P.P.: Linear operators and approximation theory (chapter 1). Delhi 1960.
Mamedov, R.G.: On the order of asymptotic approximation of differentiable functions with linear positive operators. D.A.N. 128 (1959), 471–474.
Schurer, F.: On the approximation of functions of many variables with linear positive operators. Indagationes Math. 25 (1963), 313–327.
Schurer, F.: Thesis.Technological University Delft (at the press).
Volkov, V.I.: Convergence of sequences of linear positive operators in the space of continuous functions of two variables. D.A.. N. 115 (1957), 17–19.
Volkov, V.I.: Some sequences of linear positive operators in the space of continuous functions of two variables. Kalinin. Gos. Ped. Inst. Mc. Zap 26 (1958), 11–26.
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Schurer, F. (1964). On Linear Positive Operators. In: Butzer, P.L., Korevaar, J. (eds) On Approximation Theory / Über Approximationstheorie. ISNM International Series of Numerical Mathematics / Internationale Schriftenreihe zur Nummerischen Mathematik / Série Internationale D’Analyse Numérique, vol 5 . Springer, Basel. https://doi.org/10.1007/978-3-0348-4131-3_18
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DOI: https://doi.org/10.1007/978-3-0348-4131-3_18
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