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  1. Ana Sayfa
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Yazar "Olgun, Ali" seçeneğine göre listele

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    A class of linear positive operators in weighted spaces
    (Walter De Gruyter Gmbh, 2012) Erençin, Ayşegül; İnce, H. Gül; Olgun, Ali
    In this paper, we introduce a class of linear positive operators based on q-integers. For these operators we give some convergence properties in weighted spaces of continuous functions and present an application to differential equation related to q-derivatives. Furthermore, we give a Stancu-type remainder.
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    A generalization of Jam's operators
    (Elsevier Science Inc, 2015) Olgun, Ali; Taşdelen, Fatma; Erençin, Ayşegül
    In this paper, we introduce a generalization of Jams operators based on a function rho. We examine convergence properties of such operators and prove a Voronovskaya type result. (C) 2015 Elsevier Inc. All rights reserved.
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    Generalized Baskakov type operators
    (Walter De Gruyter Gmbh, 2017) Erençin, Ayşegül; Olgun, Ali; Taşdelen, Fatma
    In this paper, we introduce a generalization of Baskakov operators based on a function rho. We prove a weighted Korovkin type theorem and compute the rate of convergence via weighted modulus of continuity for these operators. Also we give a Voronovskaya type asymptotic formula.
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    Quantitative estimates for bivariate Stancu operators
    (Wiley, 2019) Tunca, Gülen Başcanbaz; Erençin, Ayşegül; Olgun, Ali
    In this paper, we introduce Voronovskaja-type and Gruss-Voronovskaja- type theorems in quantitative mean with the help of the usual modulus of continuity for bivariate Stancu operators, which are different from a tensor product setting.
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    XEN gel implant versus gonioscopy-assisted transluminal trabeculotomy for the treatment of open-angle glaucoma
    (Springer, 2020) Olgun, Ali; Aktaş, Zeynep; Üçgül, Ahmet Yücel
    Objectives To compare successes and complications of XEN GEL Stent implantation and gonioscopy-assisted transluminal trabeculotomy (GATT) surgery in patients with open-angle glaucoma (OAG). Methods The multicentre, non-randomized, comparative, interventional, retrospective chart review study included 114 eyes undergoing XEN implantation and 107 eyes undergoing GATT for treatment of OAG. A comprehensive ophthalmic examination consisting of best-corrected LogMAR visual acuity (BCVA), Goldmann Applanation Tonometry, biomicroscopy, fundoscopy and gonioscopy was performed, and then, clinical findings, complications and number of antiglaucomatous medications were noted at the 3-, 6-, 12-, 18- and 24-month postoperative visits. Surgical success was defined as IOP <= 21 mmHg and 20% >= IOP reduction from baseline with (qualified success) or without (complete success) further medication, and without any further IOP-lowering surgery. Results The mean ages were 65.8 +/- 10.6 and 59.1 +/- 14.3 in XEN and GATT groups, respectively (p = 0.001). In XEN group, the percentage of IOP reduction and need of medication were significantly more improved than those in GATT group. The complete surgical success rates were 34.2% and 50.5% in XEN and GATT groups, respectively (p = 0.039), with a success rate of 41.1% in total. Qualified surgical success rates were 97.4% and 89.7% in XEN and GATT groups, respectively (p = 0.025), with a success rate of 93.7% in total. Transient hyphema, the most observed postoperative complication in both groups, cleared in a few days. Conclusions Both MIGS have good efficacy and safety outcomes in lowering IOP and need of medication in patients with OAG. XEN Gel Stent implantation may be preferred in patients with lower IOP values targeted.

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