Blending‐type approximation by Lupaş–Durrmeyer‐type operators involving Pólya distribution
Arun Kajla, S. A. Mohiuddine, Abdullah Alotaibi
Abstract
In the present work, we construct a new sequence of positive linear operatorsinvolving Pólya distribution. We compute a Voronovskaja type and a Grüss–Voronovskaja type asymptotic formula as well as the rate of approximation by using the modulus of smoothness and for functions in a Lipschitz type space. Lastly, we provide some numerical results, which explain the validity of the theoretical results and the effectiveness of the constructed operators.
Topics & Concepts
MathematicsType (biology)Lipschitz continuitySmoothnessModulus of continuityMathematical analysisSpace (punctuation)Sequence (biology)Distribution (mathematics)Applied mathematicsPure mathematicsGeneticsEcologyBiologyPhilosophyLinguisticsApproximation Theory and Sequence SpacesMathematical Approximation and IntegrationMathematical functions and polynomials