Approximation of functions by a class of Durrmeyer–Stancu type operators which includes Euler’s beta function

In this work, we construct the genuine Durrmeyer–Stancu type operators depending on parameter α in [ 0 , 1 ] as well as ρ > 0 and study some useful basic properties of the operators. We also obtain Grüss–Voronovskaja and quantitative Voronovskaja types approximation theorems for the aforesaid ope...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	Advances in difference equations Ročník 2021; číslo 1; s. 1 - 14
Hlavní autoři:	Alotaibi, Abdullah, Özger, Faruk, Mohiuddine, S. A., Alghamdi, Mohammed A.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Cham Springer International Publishing 07.01.2021 Springer Nature B.V SpringerOpen
Témata:	Analysis Applications Approximation Beta function Difference and Functional Equations Durrmeyer operators Functional Analysis Jacobi weights Mathematics Mathematics and Statistics Methods Modulus of continuity Operators (mathematics) Ordinary Differential Equations Partial Differential Equations Topics in Special Functions and q-Special Functions: Theory Voronovskaja-type result α-Bernstein operators Bernstein operators 41A35 41A36 Durrmeyer operators Voronovskaja-type result 41A10 Beta function Jacobi weights Modulus of continuity
ISSN:	1687-1847, 1687-1839, 1687-1847
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Popis
Shrnutí:	In this work, we construct the genuine Durrmeyer–Stancu type operators depending on parameter α in [ 0 , 1 ] as well as ρ > 0 and study some useful basic properties of the operators. We also obtain Grüss–Voronovskaja and quantitative Voronovskaja types approximation theorems for the aforesaid operators. Further, we present numerical and geometrical approaches to illustrate the significance of our new operators.
Bibliografie:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-020-03164-0