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Matematik Bölümü2
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Uygulamalı Matematik Anabilim Dalı2
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Topoloji Anabilim Dalı2
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Matematiğin Temelleri ve Matematiklojik Anabilim Dalı2
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Matematik Pr.2
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Fakülteler2
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Matematik Anabilim Dalı2
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Matematik ( 2. Öğretim )2
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Analiz ve Fonksiyonlar Teorisi Anabilim Dalı2
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Cebir Sayıları Teorisi Anabilim Dalı2
On Cauchy alpha and uniform alpha convergence
Erdem, Alper | Tunç, Tuncay
In this paper we introduced the notions of Cauchy alpha convergence and uniform alpha convergence for sequences of functions between metric spaces. Using these new concepts, we investigated properties between uniform convergence and alpha convergence and provided figures illustrating the relationships among these different types of convergence based on the structure of the functions and their domains. Finally, we established some Korovkin-type approximation theorems involving these new concepts.
P-Bernstein Polynomials
Erdem, Alper
In this current study, we introduce a new operator called the P− Bernstein operator derived through the utilization of “P-factorial” (Pell factorial) and “Pellnomial” (Pell binomial). Subsequently, we investigate the fundamental properties of the P−Bernstein basis polynomials. Furthermore, we establish some connections between the P-Bernstein Polynomials and Pell Numbers.