A note on the convergence of Phillips operators by the sequence of functions via q-calculus

• Autorzy: Kiliçman Adem , Ayman-Mursaleen Mohammad , Nasiruzzaman Md.

Identyfikatory

DOI

10.1515/dema-2022-0154

• Języki publikacji: EN

Abstrakty

EN

The basic aim of this study is to include nonnegative real parameters to allow for approximation findings of the Stancu variant of Phillips operators. We concentrate on the uniform modulus of smoothness in a simple manner before moving on to the approximation in weighted Korovkin’s space. Our study’s goals and outcomes are to fully develop the uniformly approximated findings of Phillips operators. We determine the order of convergence in terms of Lipschitz maximal function and Peetre’s K-functional. In addition, the Voronovskaja-type theorem is also proved.

Słowa kluczowe

EN

Szász operators; q-integers; exponential generating functions; Dunkl analogue; modulus of continuity

PL

operatory Szásza; liczby całkowite; funkcja generująca; funkcja eksponencjalna; moduł ciągłości

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 615--633
• Opis fizyczny: Bibliogr. 39 poz.

Twórcy

autor

Kiliçman Adem

• Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

• https://orcid.org/0000-0002-1217-963X

autor

Ayman-Mursaleen Mohammad

• Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
• School of Information and Physical Sciences, The University of Newcastle, University Drive, Callaghan, New South Wales 2308, Australia

• https://orcid.org/0000-0002-2566-3498

autor

Nasiruzzaman Md.

• Computational and Analytical Mathematics and Their Applications Research Group, Department of Mathematics, Faculty of Science, University of Tabuk, PO Box 4279, Tabuk 71491, Saudi Arabia

• https://orcid.org/0000-0003-4823-0588

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).