TY  - JOUR
T1  - Directs estimates and  a Voronovskaja-type formula for  Mihesan operators
AU  - Bustamante, Jorge
PY  - 2022
DA  - December
DO  - 10.33205/cma.1169884
JF  - Constructive Mathematical Analysis
JO  - CMA
PB  - Tuncer ACAR
WT  - DergiPark
SN  - 2651-2939
SP  - 202
EP  - 213
VL  - 5
IS  - 4
LA  - en
AB  - We present an estimate for the rate of convergence of Mihesan operators in polynomial weighted spaces. A Voronovskaja-type theorem is included.
KW  - Mihesan operators
KW  - rate of convergence
KW  - polynomial weighted spaces
KW  - Voronovskaja-type theorems.
CR  - P. N. Agrawal, M. Goyala: Generalized Baskakov Kantorovich operators, FILOMAT, 31 (19) (2017), 6131–6151.
CR  - P. N. Agrawal, V. Gupta, A. Sathish Kumar and A. Kajla: Generalized Baskakov-Szász type operators, Appl. Math. Comp., 236 (2014) 311–324.
CR  - J. Bustamante: Baskakov-Kantorovich operators reproducing affine functions, Stud. Univ. Babeş-Bolyai Math., 66 (4) (2021), 739–756.
CR  - J. Bustamante: Approximation of functions and Mihesan operators, to appear.
CR  - 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.
CR  - 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.
CR  - J. Bustamante, L. Flores-de-Jesús: Quantitative Voronovskaya-type theorems for Fejér-Korovkin operators, Constr. Math. Anal., 3 (4) (2020), 150–164.
CR  - J. Bustamante, J. J. Merino-García and J. M. Quesada: Baskakov operators and Jacobi weights: pointwise estimates, J.
Inequal. Appl., 2021:119, (2021).
CR  - V. Mihesan: Uniform approximation with positive linear operators generated by generalized Baskakov method, Autmat. Comput. Appl. Math., 7 (1) (1998), 38–97.
CR  - 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.
CR  - 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.
CR  - A. Wafi, S. Khatoon: The Voronovskaya theorem for generalized Baskakov-Kantorovich operators in polynomial weight spaces, Mat. Vesnik, 57 (3-4) (2005), 87–94.
CR  - A.Wafi, S. Khatoon: Convergence and Voronovskaja-type theorems for derivatives of generalized Baskakov operators, Cent. Eur. J. Math., 6 (2) (2008), 325–334.
UR  - https://doi.org/10.33205/cma.1169884
L1  - https://dergipark.org.tr/en/download/article-file/2627822
ER  -