Article detail · 2024
Approximation theorems via Pp -statistical convergence on weighted spaces
- Year
- 2024
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue Mathematica Slovaca
- Catalog match (ISSN) Mathematica Slovaca
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
Abstract In this paper, we obtain some Korovkin type approximation theorems for double sequences of positive linear operators on two-dimensional weighted spaces via statistical type convergence method with respect to power series method. Additionally, we calculate the rate of convergence. As an application, we provide an approximation using the generalization of Gadjiev-Ibragimov operators for Pp -statistical convergence. Our results are meaningful and stronger than those previously given for two-dimensional weighted spaces.
Topics
Citations
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7 citations
OpenAlex cited_by_count (cache / database)
7 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Almost A-Statistical Convergence and Approximation Theorems 2025
- Approximation via a product (P, K_a )-convergence method on H_ω(K) 2026
- Convergence in ψ ‐Density: Fundamental Properties and Approximation Theorems for Positive Linear Operators 2026
- Korovkin-type Approximation Theorems for Functions with the Help of $$\mathcal {I}$$-statistical Convergence 2026
- A generalization of power series statistical convergence and its applications to positive linear operators 2026
- Fuzzy measure-based statistical convergence and its applications in Korovkin-type approximation theory 2026
- A new perspective to using statistical convergence with respect to power series method in measure 2025