Petrova, T. O.; Chukalov, I. P. Some negative results for the interpolation monotone approximation of functions having a fractional derivative. (Ukrainian. English summary) Zbl 1474.41015 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2020, No. 3, 122-127 (2020). MSC: 41A10 PDFBibTeX XMLCite \textit{T. O. Petrova} and \textit{I. P. Chukalov}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2020, No. 3, 122--127 (2020; Zbl 1474.41015) Full Text: DOI
Petrova, T. O. One counterexample for convex approximation of function with fractional derivatives, \(r>4\). (Ukrainian. English summary) Zbl 1438.41009 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2018, No. 3, 53-56 (2018). MSC: 41A10 PDFBibTeX XMLCite \textit{T. O. Petrova}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2018, No. 3, 53--56 (2018; Zbl 1438.41009)
Petrova, T. O. One counterexample for \(q\)-convex approximation of function with fractional derivatives, \(r\in (3,4)\) and \(q =3\). (Ukrainian. English summary) Zbl 1424.41007 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2018, No. 1, 38-41 (2018). MSC: 41A10 PDFBibTeX XMLCite \textit{T. O. Petrova}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2018, No. 1, 38--41 (2018; Zbl 1424.41007)
Petrova, T. O. Pointwise estimates for \(q\)-convex polynomial approximation of function with fractional derivatives of real order \(r>4\). (Ukrainian. English summary) Zbl 1399.41010 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 2, 17-20 (2017). MSC: 41A10 PDFBibTeX XMLCite \textit{T. O. Petrova}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 2, 17--20 (2017; Zbl 1399.41010)