
The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends onσsuch thatσ0=0andinfx∈0,∞σ′x≥1. Primarily, for the sequence of operators, the convergence is discussed for functions belong to weighted spaces. Further, to prove pointwise convergence Voronovskaya type theorem is taken into consideration. Finally, quantitative estimates for the local approximation are discussed.
Statistics and Probability, Pharmacology, Numerical Analysis, Artificial intelligence, Approximation by operators (in particular, by integral operators), Statistical Convergence in Approximation Theory and Functional Analysis, Local Convergence, Approximation Theorems, Computer science, Convergence Analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Algorithm, Physical Sciences, Health Sciences, QA1-939, FOS: Mathematics, Medicine, Apelin Signaling and Physiology, Mathematics
Statistics and Probability, Pharmacology, Numerical Analysis, Artificial intelligence, Approximation by operators (in particular, by integral operators), Statistical Convergence in Approximation Theory and Functional Analysis, Local Convergence, Approximation Theorems, Computer science, Convergence Analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Algorithm, Physical Sciences, Health Sciences, QA1-939, FOS: Mathematics, Medicine, Apelin Signaling and Physiology, Mathematics
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