
arXiv: 1805.06968
In the present article we define the Jain type modification of the generalized Szasz-Mirakjan operators that preserve constant and exponential mappings. Moments, recurrence formulas, and other identities are established for these operators. Approximation properties are also obtained with use of the Boham-Korovkin theorem.
15 pages
Other functions defined by series and integrals, jain operators, Lambert W-function, Approximation by positive operators, Rate of convergence, degree of approximation, Szász-Mirakjan operators, Bohman-Korovkin theorem, Approximation by other special function classes, Jain basis functions, 33E20, 41A25, 41A36, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, approximation theory
Other functions defined by series and integrals, jain operators, Lambert W-function, Approximation by positive operators, Rate of convergence, degree of approximation, Szász-Mirakjan operators, Bohman-Korovkin theorem, Approximation by other special function classes, Jain basis functions, 33E20, 41A25, 41A36, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, approximation theory
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