Turan, MehmetOstrovska, SofiyaOzban, Ahmet YasarOstrovska, SofiyaTuran, MehmetÖzban, Ahmet YaşarMathematics2024-07-052024-07-05201521846-579X10.7153/jmi-09-122-s2.0-84930360376https://doi.org/10.7153/jmi-09-12https://hdl.handle.net/20.500.14411/712Turan, Mehmet/0000-0002-1718-3902In this article, the approximation of functions with a singularity at alpha is an element of (0, 1) by the q-Bernstein polynomials for q > 1 has been studied. Unlike the situation when alpha is an element of (0, 1) \ {q(-j)} j is an element of N, in the case when alpha = q(-m), m is an element of N, the type of singularity has a decisive effect on the set where a function can be approximated. In the latter event, depending on the types of singularities, three classes of functions have been examined, and it has been found that the possibility of approximation varies considerably for these classes.eninfo:eu-repo/semantics/openAccessq-Bernstein polynomialinner singularityapproximation of unbounded functionsconvergenceArticleQ1Q291121136WOS:000353524600012