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Article detail · 2022

Approximation by Statistical Convergence with Respect to Power Series Methods

Journal

Hacettepe Journal of Mathematics and Statistics

ISSN 2651-477X

YÖKSİS OpenAlex Open access · diamond SJR Q3 JCR Q3 TR Index Citations 15 Percentile 88.4% FWCI 2.22
Year
2022
DOI
10.15672/hujms.1022072
Type
article

Data source split

  • YÖKSİS YÖKSİS article record
  • YÖKSİS venue Hacettepe Journal of Mathematics and Statistics
  • Catalog match (ISSN) Hacettepe Journal of Mathematics and Statistics
  • OpenAlex OpenAlex enrichment (abstract, citations, topics)

OpenAlex record

Abstract

OpenAlex · English

In the present work, using statistical convergence with respect to power series methods, we obtain various Korovkin-type approximation theorems for linear operators defined on derivatives of functions. Then we give an example satisfying our approximation theorem. We study certain rate of convergence related to this method. In the final section we summarize these results to emphasize the importance of the study.

Topics

Citations

OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.

15 citations

OpenAlex cited_by_count (cache / database)

15 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).

  1. Approximation theorems via Pp -statistical convergence on weighted spaces 2024 Citations 7 · OpenAlex
  2. WEIGHTED B-SUMMABILITY AND POSITIVE LINEAR OPERATORS 2025 Citations 4 · OpenAlex
  3. Weighted Convergence and Applications to Approximation Theorems for Sequences of Monotone and Sublinear Operators 2025 Citations 4 · OpenAlex
  4. Approximation via Statistical Convergence in the Sense of Power Series Method of Bögel-Type Continuous Functions 2022 Citations 3 · OpenAlex
  5. ON STATISTICAL LIMIT POINTS WITH RESPECT TO POWER SERIES METHODS AND MODULUS FUNCTIONS 2023 Citations 2 · OpenAlex
  6. On statistical limit points with respect to power series methods and modulus functions 2023 Citations 2 · OpenAlex
  7. Approximation via a product (P, K_a )-convergence method on H_ω(K) 2026 Citations 1 · OpenAlex
  8. Approximation Results by Statistical Convergence Based on a Power Series in Modular Spaces 2023 Citations 1 · OpenAlex
  9. Korovkin-type Approximation Theorems for Functions with the Help of $$\mathcal {I}$$-statistical Convergence 2026 Citations 0 · OpenAlex
  10. Korovkin Theory via Power Series Methods for Double Sequences of Monotone Sublinear Operators 2026 Citations 0 · OpenAlex

Authors

  1. NİLAY ŞAHİN BAYRAM BAŞKENT ÜNİVERSİTESİ
  2. SEVDA YILDIZ SİNOP ÜNİVERSİTESİ