Blending‐type approximation by Lupaş–Durrmeyer‐type operators involving Pólya distribution. (8th April 2021)

• Record Type: Journal Article
• Authors: Kajla, Arun; Mohiuddine, S. A.; Alotaibi, Abdullah
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 11(2021)
• Page Start: 9407
• Page End: 9418
• Publication Date: 2021-04-08
• Subjects: Durrmeyer operators -- Pólya distribution -- Positive approximation -- Steklov mean; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7368
• Languages: English
• ISSNs: 0170-4214

Abstract

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.