On approximation properties of Baskakov–Schurer–Szász operators
Copyright policy )On approximation properties of Baskakov–Schurer–Szász operators
In this paper, we are dealing with a new type of Baskakov-Schurer-Szasz operators (\ref{eq1}). Approximation properties of this operators are explored: the rate of convergence in terms of the usual moduli of smoothness is given, the convergence in certain weighted spaces is investigated. We study $q$-analogues of Baskakov-Schurer-Sz��sz operators and it's Stancu generalization. In the last section, we give better error estimations for the operators (\ref{eq2}) using King type approach and obtained weighted statistical approximation properties for operator (\ref{qb})
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asymptotic formula, Mathematics - Functional Analysis, \(q\)-integer, modulus of continuity, Approximation by positive operators, Approximation by operators (in particular, by integral operators), Baskakov-Schurer-Szász operators, FOS: Mathematics, Rate of convergence, degree of approximation, rate of convergence, Functional Analysis (math.FA)
asymptotic formula, Mathematics - Functional Analysis, \(q\)-integer, modulus of continuity, Approximation by positive operators, Approximation by operators (in particular, by integral operators), Baskakov-Schurer-Szász operators, FOS: Mathematics, Rate of convergence, degree of approximation, rate of convergence, Functional Analysis (math.FA)
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