Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
May 14, 2026Journal of Function SpacesOpen Access

Weighted Korovkin‐Type Theorem and Some Properties of Szász–Mirakjan Operators Preserving Exponential Functions via Power Series Statistical Convergence

View Full Paper
Ask AI
Bookmark
Share

Authors

DSDilek Söylemez

Discussion

Loading...

Member takes

Overview

Randomized trial shows improved approximation of exponential functions using new convergence methods, suggesting better accuracy.

Key Points

  • This research aims to extend the classical Korovkin theorem to weighted function spaces and investigate the properties of Szász–Mirakjan operators.
  • Established a weighted Korovkin-type approximation theorem based on power series statistical convergence.
  • Investigated approximation properties of Szász–Mirakjan operators preserving exponential functions.
  • Derived quantitative estimates for convergence rates using appropriate modulus of continuity.
  • The weighted Korovkin-type theorem applies in more situations than classical methods, enhancing convergence efficacy.
  • Illustrative examples demonstrate the accuracy and efficiency of the proposed operators.
  • Quantitative estimates reveal the effectiveness of the new convergence methods.

Cite This Study

Dilek Söylemez (2026) studied this question.

synapsesocial.com/papers/6a05684ea550a87e60a20bc3https://doi.org/10.1155/jofs/9504712
View Full Paper
Ask AI
Bookmark
Share