Convergence of derivatives for certain mixed Szasz–Beta operators
Copyright policy )Convergence of derivatives for certain mixed Szasz–Beta operators
The authors introduced a general class of summation-integral type operators.The behaviour of those operators is similar to that of operators considered by \textit{V. Gupta, M. K. Gupta} and \textit{V. Vasishta} [Simultaneous approximation by summation integral type operators. J. Nonlinear Funct. Anal. Appl. 8, 399-412 (2003)],but the main difference is that the new operators reproduce not only the constant ones but linear functions also. Some direct results are obtained (a point-wise rate of convergence,an asymptotyc formula of Voronovskaya type and an estimate in simultaneous approximation).
Error estimate, asymptotic formula, Asymptotic formula, Simultaneous approximation, Applied Mathematics, summation-integral type operators, Approximation by positive operators, error estimate, Rate of convergence, Summation–integral type operators, simultaneous approximation, Linear positive operators, Analysis, rate of convergence
Error estimate, asymptotic formula, Asymptotic formula, Simultaneous approximation, Applied Mathematics, summation-integral type operators, Approximation by positive operators, error estimate, Rate of convergence, Summation–integral type operators, simultaneous approximation, Linear positive operators, Analysis, rate of convergence
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