What does this research mean for the field?

The introduction of statistical derivatives within deferred Nörlund summability leads to a new Korovkin-type theorem for algebraic test functions in the Banach space \( \mathfrak{C}[0,1] \). Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to explore statistical derivatives and propose a new Korovkin-type theorem using deferred Nörlund summability.

February 25, 2026SHILAP Revista de lepidopterologíaOpen Access

Korovkin-type Theorems via Statistical Derivatives of Deferred Nörlund Summability

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Authors

SMSuresh Chandra MahapatraSri Sri University BJBidu Bhusan JenaSri Sri University SPSusanta Kumar PaikrayVeer Surendra Sai University of Technology

Discussion

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Implication

Establishes a new Korovkin-type theorem in approximation theory, suggesting advancements in convergence analysis.

Key Points

The aim is to explore statistical derivatives and propose a new Korovkin-type theorem using deferred Nörlund summability.
Introduced statistical derivatives in the context of deferred Nörlund summability.
Established a new Korovkin-type theorem for functions in Banach space.
Examined convergence rates of statistical derivatives with examples and graphical visualizations.
Generalizes classical Korovkin-type results in approximation theory.
Demonstrates effective convergence behavior of proposed operators.
Provides numerical examples and visualizations supporting theoretical claims.

Cite This Study

Mahapatra et al. (2026) studied this question.

synapsesocial.com/papers/699e9166f5123be5ed04eddd https://doi.org/10.22130/scma.2025.2070789.2316

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February 25, 2026SHILAP Revista de lepidopterologíaOpen Access

Korovkin-type Theorems via Statistical Derivatives of Deferred Nörlund Summability

View Full Paper

Ask AI

Bookmark

Authors

SMSuresh Chandra MahapatraSri Sri University BJBidu Bhusan JenaSri Sri University SPSusanta Kumar PaikrayVeer Surendra Sai University of Technology

Discussion

Member takes

Implication

Establishes a new Korovkin-type theorem in approximation theory, suggesting advancements in convergence analysis.

Key Points

The aim is to explore statistical derivatives and propose a new Korovkin-type theorem using deferred Nörlund summability.
Introduced statistical derivatives in the context of deferred Nörlund summability.
Established a new Korovkin-type theorem for functions in Banach space.
Examined convergence rates of statistical derivatives with examples and graphical visualizations.
Generalizes classical Korovkin-type results in approximation theory.
Demonstrates effective convergence behavior of proposed operators.
Provides numerical examples and visualizations supporting theoretical claims.

Cite This Study

Mahapatra et al. (2026) studied this question.

synapsesocial.com/papers/699e9166f5123be5ed04eddd https://doi.org/10.22130/scma.2025.2070789.2316

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