Approximation properties of a new family of Gamma operators and their applications

Abstract The present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman–Korovkin theorem. In order to examine their approximation behaviours, the approximation properties of the newly introduced operators such as Voronovskaya-type theorems, ra...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Reyhan Özçelik, Emrah Evren Kara, Fuat Usta, Khursheed J. Ansari
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Gamma operators Modulus of continuity Voronovskaya theorem Korovkin-type theorem Shape-preserving approximation Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/dec3650c581a4348a8b0b0851d90ae06
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:dec3650c581a4348a8b0b0851d90ae06
record_format	dspace
spelling	oai:doaj.org-article:dec3650c581a4348a8b0b0851d90ae062021-11-28T12:08:27ZApproximation properties of a new family of Gamma operators and their applications10.1186/s13662-021-03666-51687-1847https://doaj.org/article/dec3650c581a4348a8b0b0851d90ae062021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03666-5https://doaj.org/toc/1687-1847Abstract The present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman–Korovkin theorem. In order to examine their approximation behaviours, the approximation properties of the newly introduced operators such as Voronovskaya-type theorems, rate of convergence, weighted approximation, and pointwise estimates are presented. Finally, we present some numerical examples to verify that the newly constructed operators are an approximation procedure.Reyhan ÖzçelikEmrah Evren KaraFuat UstaKhursheed J. AnsariSpringerOpenarticleGamma operatorsModulus of continuityVoronovskaya theoremKorovkin-type theoremShape-preserving approximationMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-13 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Gamma operators Modulus of continuity Voronovskaya theorem Korovkin-type theorem Shape-preserving approximation Mathematics QA1-939
spellingShingle	Gamma operators Modulus of continuity Voronovskaya theorem Korovkin-type theorem Shape-preserving approximation Mathematics QA1-939 Reyhan Özçelik Emrah Evren Kara Fuat Usta Khursheed J. Ansari Approximation properties of a new family of Gamma operators and their applications
description	Abstract The present paper introduces a new modification of Gamma operators that protects polynomials in the sense of the Bohman–Korovkin theorem. In order to examine their approximation behaviours, the approximation properties of the newly introduced operators such as Voronovskaya-type theorems, rate of convergence, weighted approximation, and pointwise estimates are presented. Finally, we present some numerical examples to verify that the newly constructed operators are an approximation procedure.
format	article
author	Reyhan Özçelik Emrah Evren Kara Fuat Usta Khursheed J. Ansari
author_facet	Reyhan Özçelik Emrah Evren Kara Fuat Usta Khursheed J. Ansari
author_sort	Reyhan Özçelik
title	Approximation properties of a new family of Gamma operators and their applications
title_short	Approximation properties of a new family of Gamma operators and their applications
title_full	Approximation properties of a new family of Gamma operators and their applications
title_fullStr	Approximation properties of a new family of Gamma operators and their applications
title_full_unstemmed	Approximation properties of a new family of Gamma operators and their applications
title_sort	approximation properties of a new family of gamma operators and their applications
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/dec3650c581a4348a8b0b0851d90ae06
work_keys_str_mv	AT reyhanozcelik approximationpropertiesofanewfamilyofgammaoperatorsandtheirapplications AT emrahevrenkara approximationpropertiesofanewfamilyofgammaoperatorsandtheirapplications AT fuatusta approximationpropertiesofanewfamilyofgammaoperatorsandtheirapplications AT khursheedjansari approximationpropertiesofanewfamilyofgammaoperatorsandtheirapplications
_version_	1718408229221826560

Approximation properties of a new family of Gamma operators and their applications

Ejemplares similares