Approximation by genuine Gupta–Srivastava operators
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In the present paper, we consider new operators, which is defined by Gupta and Srivastava (Eur J Pure Appl Math 11(3):575–579, 2018). They considered a general sequence of positive linear operators and gave the modified form of their previous operators (Neer et al. in Math Comput Model 37:1307–1315, 2003). As these operators preserve linear functions, we call these operators as genuine Gupta–Srivastava operators. Here we discuss some basic properties, direct results and rate of convergence of functions of bounded variation and weighted approximation.
KeywordsBaskakov operators Hypergeometric function Function of Bounded variation
Mathematics Subject Classifications41A25 42A36
The authors are thankful to the referee for his valuable comments leading to the overall improvements in the paper.
- 5.Deo, N., Dhamija, M.: Generalized positive linear operators based on PED and IPED. Iran J Sci Technol Trans Sci (2018). https://doi.org/10.1007/s40995-017-0477-5
- 7.Gadjiev, A.D., On, P.P.: Korovkin type theorems. Math. Zametki. 205, 781–786 (1976)Google Scholar
- 18.Verma, D.K., Agrawal, P.N.: Convergence in simultaneous approximation for Srivastava-Gupta operators. Math. Sci. (2012). https://doi.org/10.1186/2251-7456-6-22