Article detail · 2023 · article
Some Approximation Properties of Operators Including Degenerate Appell Polynomials
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- YÖKSİSYÖKSİS article record
- YÖKSİS venueMathematica Slovaca
- Catalog match (ISSN)Mathematica Slovaca
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- Semantic Scholarcitation count (not merged with OpenAlex)
Abstract
ABSTRACT This paper is interested in a new sequence of linear positive operators including degenerate Appell polynomials. We give a convergence theorem for these operators and obtain the quantitative estimation of the approximation by using modulus of continuity, Peetre’s 𝒦-functional, Lipschitz class functions and a Voronovskaja-type theorem. In addition, we give a Kantorovich modification of these operators and derive some approximation properties.
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Citations
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6citationsOpenAlex · cited_by_count (cache / database)
7 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- 2025 Degenerate Appell Polynomials Connecting Beta Function as a Family of Operators and Their ApproximationsCitations 5 · OpenAlex
- 2025 Durrmeyer form of the operators including ∆ϕ-Appell polynomialsCitations 2 · OpenAlex
- 2025 Durrmeyer form of the operators including ∆ϕ-Appell polynomialsCitations 2 · OpenAlex
- 2024 Approximation by operators Involving Δh -Gould-Hopper Appell polynomialsCitations 2 · OpenAlex
- 2024 Approximation by operators Involving △ h-Gould-Hopper Appell polynomialsCitations 2 · OpenAlex
- 2026 Some Approximation Properties of Operators Including Degenerate 3‐Variable Hermite‐Appell PolynomialsCitations 0 · OpenAlex
- 2026 Some Approximation Properties of Operators Including Degenerate 3‐Variable Hermite‐Appell PolynomialsCitations 0 · OpenAlex