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Öğe Korovkin type theorems in weighted Lp-spaces via statistical A-summability(Universitatii Al.I.Cuza din Iasi, 2016) Orhan S.; Acar T.; Dirik F.In this paper, we study Korovkin type approximation theorems on weighted spaces (formula presented) and (formula presented), with help of statistical A-summability which is stronger than A -statistical convergence. Also, we construct examples such that our new approximation result works but its statistical case does not work. © 2016, Universitatii Al.I.Cuza din Iasi. All rights reserved.Öğe Quantitative estimates for a new complex q-Durrmeyer type operators on compact disks(Politechnica University of Bucharest, 2018) Kumar A.S.; Agrawal P.N.; Acar T.In the present article, the upper bound and Voronovskaya type result with quantitative estimate and the exact degree of approximation for a new complex q-Bernstein-Durrmeyer operators attached to analytic functions on compact disks are obtained. In this way, we put in evidence the over convergence phenomenon for the q-Bernstein-Durrmeyer polynomials, namely the extensions of approximation properties (with quantitative estimates) from real intervals to compact disks in the complex plane. © 2018 Politechnica University of Bucharest. All rights reserved.










