A generalization of Phillips operators by using the Appell polynomials of class A(2)

The current paper discusses some important approximation properties of a new modification of the Phillips operators with the help of A ( 2 ) class Appell polynomials. Firstly, we present the convergence rate of our new operators by using modulus of continuity. Then we establish a quantitative Vorono...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2025; no. 1; p. 13
Main Author Sofyalıoğlu Aksoy, Melek
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 05.02.2025
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Appell polynomials
Applications of Mathematics
Approximation
Hermite polynomials
Mathematics
Mathematics and Statistics
Operators
Phillips operators
Voronovskaya-type theorem
Phillips operators
Voronovskaya-type theorem
41A25
41A36
Appell polynomials
47A58
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Summary:The current paper discusses some important approximation properties of a new modification of the Phillips operators with the help of A ( 2 ) class Appell polynomials. Firstly, we present the convergence rate of our new operators by using modulus of continuity. Then we establish a quantitative Voronovskaya-type asymptotic result. We also introduce Hermite polynomials and Gould–Hopper polynomials, which are more specific examples of Appell polynomials.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-025-03260-3