Szász type operators involving Charlier polynomials and approximation properties
Ahmed Ahmed Hussin Ali Al-Abied, M. Mursaleen, M. Mursaleen
Abstract
Our aim is to define modified Sz?sz type operators involving Charlier polynomials and obtain some approximation properties. We prove some results on the order of convergence by using the modulus of smoothness and Peetre?s K-functional. We also establish Voronoskaja type theorem for these operators. Moreover, we prove a Korovkin type approximation theorem via q-statistical convergence.
Topics & Concepts
MathematicsType (biology)SmoothnessConvergence (economics)Order (exchange)Pure mathematicsApplied mathematicsMathematical analysisEcologyEconomicsBiologyEconomic growthFinanceApproximation Theory and Sequence Spaces