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Öğe A class of linear positive operators in weighted spaces(Versita, 2012) Erencin, Aysegul; Ince, H. Gul; Olgun, AliIn 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.Öğe Generalized Baskakov type operators(Walter De Gruyter Gmbh, 2017) Erencin, Aysegul; Olgun, Ali; Tasdelen, FatmaIn 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.