Approximation by a new sequence of operators involving Apostol-Genocchi polynomials
Chandra Prakash, Durvesh Kumar Verma, Naokant Deo
Abstract
Abstract The main objective of this paper is to construct a new sequence of operators involving Apostol-Genocchi polynomials based on certain parameters. We investigate the rate of convergence of the operators given in this paper using second-order modulus of continuity and Voronovskaja type approximation theorem. Moreover, we find weighted approximation result of the given operators. Finally, we derive the Kantorovich variant of the given operators and discussed the approximation results.
Topics & Concepts
MathematicsSequence (biology)Orthogonal polynomialsClassical orthogonal polynomialsModulus of continuityDiscrete orthogonal polynomialsOrder (exchange)Difference polynomialsRate of convergenceConvergence (economics)Gegenbauer polynomialsType (biology)Pure mathematicsApplied mathematicsKey (lock)EconomicsBiologyFinanceGeneticsEconomic growthEcologyApproximation Theory and Sequence SpacesIterative Methods for Nonlinear EquationsMathematical Approximation and Integration