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On two classes of approximation processes of integral type |
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| Authors: | Agratini Octavian Aral Ali Deniz Emre |
| Affiliation: | 1.Faculty of Mathematics and Computer Science, Babe?-Bolyai University, Street M. Kog?lniceanu 1, 400084, Cluj-Napoca, Romania ;2.Department of Mathematics, Faculty of Science and Arts, Kirikkale University, Yahsihan, 71450, Kirikkale, Turkey ; |
| Abstract: | The paper aims to study two classes of linear positive operators representing modifications of Picard and Gauss operators. The new operators reproduce both constants and a given exponential function. Approximation properties in polynomial weighted spaces are investigated and the speed of convergence is measured using a certain weighted modulus of smoothness. Also, the asymptotic behavior of the integral operators are established. Finally, aspects on generalized convexity are analyzed. |
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