KOROVKIN THEOREM VIA STATISTICAL e-MODULAR CONVERGENCE OF DOUBLE SEQUENCES

Yıldız, Sevda

doi:10.16984/saufenbilder.383770

Cited by 4 publications

(2 citation statements)

References 15 publications

(16 reference statements)

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“…Figure 5 shows the electronic transitions in Yb 3+ , Gd 3+ and Er 3+ ions, but they have not been observed in the ZrO 2 :Dy 3+ phosphor. However, the emission intensity of Gd 3+ co-doped samples increased while the emission intensities of Yb 3+ and Er 3+ co-doped Dy 3+ phosphor have been reported in our earlier article [71].…”

Section: Results Discussionsupporting

confidence: 45%

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Photoluminescence and thermoluminescence properties of pure and rare‐earth‐doped ZrO₂ prepared by Pechini‐type sol–gel

Uzun,

Yıldız,

Öztürk

2023

Luminescence

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In this paper, photoluminescence and thermoluminescence properties of ZrO2, ZrO2:Dy3+, ZrO2:Dy3+–Gd3+, ZrO2:Dy3+–Yb3+, ZrO2:Dy3+–Er3+, and ZrO2:Dy3+–Sm3+ phosphors synthesized by the Pechini method were investigated. The crystal structure, thermal properties, morphology, photoluminescence and thermoluminescence properties were investigated using XRD, DTA/TGA, SEM, PL and TL, respectively. The room temperature emission bands corresponding to 4F9/2→6HJ (J=9/2, 11/2, 13/2 and 15/2) transitions of Dy3+ ions were measured. The phosphors were analysed using Tm‐TSTOP, variable dose, and computerized glow curve fitting methods. Reusability, dose‐response, and fading characteristics were investigated. The phosphors have a natural TL emission that vanished by heating treatment. Moreover, new peaks with similar properties to the natural emissions were observed after high‐dose irradiation and long‐term fading experiments. The glow curves of the phosphors have thirteen individual peaks and many low and high‐temperature satellite peaks. The origin of the peaks is ZrO2 host material and doping with RE (Gd3+, Dy3+, Yb3+, Er3+ and Sm3+) does not lead to a new glow peak. The dopants cause drastic changes in individual peak intensities of ZrO2.The initial fading rates of all the phosphorus are relatively fast, but it slows down as time goes on.

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Section: Results Discussionsupporting

confidence: 45%

“…For instance, Arsenev et al [42] reported that ZrO 2 single crystals doped by difference in the number of the luminescence centre. We argued that the rare-earth dopants [71,81,82] increase oxygen vacancies [83] and thus the number of luminescence centres rises [42,77,[84][85][86].…”

Section: Discussionmentioning

confidence: 99%

Photoluminescence and thermoluminescence properties of pure and rare‐earth‐doped ZrO₂ prepared by Pechini‐type sol–gel

Uzun,

Yıldız,

Öztürk

2023

Luminescence

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The uniform convergence of a double sequence of functions at a point and Korovkin-type approximation theorems

Dirik

Demirci

Yıldız

et al. 2020

Georgian Mathematical Journal

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In this paper, we introduce an interesting kind of convergence for a double sequence called the uniform convergence at a point. We give an example and demonstrate a Korovkin-type approximation theorem for a double sequence of functions using the uniform convergence at a point. Then we show that our result is stronger than the Korovkin theorem given by Volkov and present several graphs. Finally, in the last section, we compute the rate of convergence.

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Korovkin type approximation via statisticale-convergence on two dimensional weighted spaces

Yıldız

2021

Mathematica Slovaca

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KOROVKIN THEOREM VIA STATISTICAL e-MODULAR CONVERGENCE OF DOUBLE SEQUENCES

Cited by 4 publications

References 15 publications

Photoluminescence and thermoluminescence properties of pure and rare‐earth‐doped ZrO₂ prepared by Pechini‐type sol–gel

Photoluminescence and thermoluminescence properties of pure and rare‐earth‐doped ZrO₂ prepared by Pechini‐type sol–gel

The uniform convergence of a double sequence of functions at a point and Korovkin-type approximation theorems

Korovkin type approximation via statisticale-convergence on two dimensional weighted spaces

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KOROVKIN THEOREM VIA STATISTICAL e-MODULAR CONVERGENCE OF DOUBLE SEQUENCES

Cited by 4 publications

References 15 publications

Photoluminescence and thermoluminescence properties of pure and rare‐earth‐doped ZrO2 prepared by Pechini‐type sol–gel

Photoluminescence and thermoluminescence properties of pure and rare‐earth‐doped ZrO2 prepared by Pechini‐type sol–gel

The uniform convergence of a double sequence of functions at a point and Korovkin-type approximation theorems

Korovkin type approximation via statisticale-convergence on two dimensional weighted spaces

Contact Info

Product

Resources

About

Photoluminescence and thermoluminescence properties of pure and rare‐earth‐doped ZrO₂ prepared by Pechini‐type sol–gel

Photoluminescence and thermoluminescence properties of pure and rare‐earth‐doped ZrO₂ prepared by Pechini‐type sol–gel