Directs estimates and a Voronovskaja-type formula for Mihesan operators
Directs estimates and a Voronovskaja-type formula for Mihesan operators
We present an estimate for the rate of convergence of Mihesan operators in polynomial weighted spaces. A Voronovskaja-type theorem is included.
___
- P. N. Agrawal, M. Goyala: Generalized Baskakov Kantorovich operators, FILOMAT, 31 (19) (2017), 6131–6151.
- P. N. Agrawal, V. Gupta, A. Sathish Kumar and A. Kajla: Generalized Baskakov-Szász type operators, Appl. Math. Comp., 236 (2014) 311–324.
- J. Bustamante: Baskakov-Kantorovich operators reproducing affine functions, Stud. Univ. Babeş-Bolyai Math., 66 (4) (2021), 739–756.
- J. Bustamante: Approximation of functions and Mihesan operators, to appear.
- J. Bustamante, A. Carrillo-Zentella and J. M. Quesada, Direct and strong converse theorems for a sequence of positive linear operators, Acta Math. Hungar., 136 (1–2) (2012), 90–106.
- J. Bustamante, L. Flores-de-Jesús: Strong converse inequalities and quantitative Voronovskaya-type theorems for trigonometric Fejér sums, Constr. Math. Anal., 3 (2) (2020), 53–63.
- J. Bustamante, L. Flores-de-Jesús: Quantitative Voronovskaya-type theorems for Fejér-Korovkin operators, Constr. Math. Anal., 3 (4) (2020), 150–164.
- J. Bustamante, J. J. Merino-García and J. M. Quesada: Baskakov operators and Jacobi weights: pointwise estimates, J.
Inequal. Appl., 2021:119, (2021).
- V. Mihesan: Uniform approximation with positive linear operators generated by generalized Baskakov method, Autmat. Comput. Appl. Math., 7 (1) (1998), 38–97.
- A. Wafi, S. Khatoon: Direct and inverse theorems for generalized Baskakov operators in polynomial weight spaces, An. Ştiin¸t. Univ. Al. I. Cuza Iaşi. Mat. (N.S.), 50 (1) (2004), 159–173.
- A. Wafi, S. Khatoon: On the order of approximation of functions by generalized Baskakov operators, Indian J. Pure Appl. Math., 35 (3) (2004), 347–358.
- A. Wafi, S. Khatoon: The Voronovskaya theorem for generalized Baskakov-Kantorovich operators in polynomial weight spaces, Mat. Vesnik, 57 (3-4) (2005), 87–94.
- A.Wafi, S. Khatoon: Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators, Cent. Eur. J. Math., 6 (2) (2008), 325–334.